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Home > Pre-Algebra calculators > are 25 and 27 co-prime numbers example
13. are 25 and 27 co-prime numbers example ( Enter your problem )
( Enter your problem )
  1. Example-1
 		Other related methods
  1. Is 31 a prime number
  2. Which of the following is a prime number 13,48,49,23,45,47
  3. Which of the following is a composite number 13,19,22,31
  4. First 1000 prime numbers
  5. 5th prime number
  6. Prime numbers from 1 to 1000
  7. Greatest prime number between 1 and 100
  8. What is the next 2 prime number after 37
  9. What is the previous 2 prime number before 37
  10. What is the largest 2 digit prime number
  11. What is the smallest 4 digit prime number
  12. Express 21 as the sum of three prime numbers
  13. are 25 and 27 co-prime numbers
  14. Find all co-prime numbers from 1 to 100
  15. are 11 and 13 twin primes
  16. Find all twin prime numbers between 1 to 100
12. Express 21 as the sum of three prime numbers
(Previous method)		14. Find all co-prime numbers from 1 to 100
(Next method)

1. Example-1


1. are 25 and 27 co-prime numbers

Solution:
Two numbers are said to be Co-Prime if they have no common factor other than 1 (In other words, Their highest common factor (HCF) is 1)

HCF of `(25,27)` is `1`


Step-1: Prime factorization of `25,27` using factor by division method

525
55
 1
 
327
39
33
 1

Step-2: Write each number as a product of primes, matching primes vertically when possible
25=5 × 5
27=3 × 3 × 3

Step-3: Bring down the common factors in each column. The HCF is the product of these factors
25=5 × 5
27=3 × 3 × 3
HCF = = 1

`:.` HCF of `25,27` is `1`


Here HCF is 1, So `(25,27)` is Co-Prime
2. are 9 and 25 co-primes

Solution:
Two numbers are said to be Co-Prime if they have no common factor other than 1 (In other words, Their highest common factor (HCF) is 1)

HCF of `(9,25)` is `1`


Step-1: Prime factorization of `9,25` using factor by division method

39
33
 1
 
525
55
 1

Step-2: Write each number as a product of primes, matching primes vertically when possible
9=3 × 3
25=5 × 5

Step-3: Bring down the common factors in each column. The HCF is the product of these factors
9=3 × 3
25=5 × 5
HCF = = 1

`:.` HCF of `9,25` is `1`


Here HCF is 1, So `(9,25)` is Co-Prime
3. are 27 and 32 co-primes

Solution:
Two numbers are said to be Co-Prime if they have no common factor other than 1 (In other words, Their highest common factor (HCF) is 1)

HCF of `(27,32)` is `1`


Step-1: Prime factorization of `27,32` using factor by division method

327
39
33
 1
 
232
216
28
24
22
 1

Step-2: Write each number as a product of primes, matching primes vertically when possible
27=3 × 3 × 3
32=2 × 2 × 2 × 2 × 2

Step-3: Bring down the common factors in each column. The HCF is the product of these factors
27=3 × 3 × 3
32=2 × 2 × 2 × 2 × 2
HCF = = 1

`:.` HCF of `27,32` is `1`


Here HCF is 1, So `(27,32)` is Co-Prime
4. are 27 and 93 co-primes

Solution:
Two numbers are said to be Co-Prime if they have no common factor other than 1 (In other words, Their highest common factor (HCF) is 1)

HCF of `(27,93)` is `3`


Step-1: Prime factorization of `27,93` using factor by division method

327
39
33
 1
 
393
3131
 1

Step-2: Write each number as a product of primes, matching primes vertically when possible
27=3 × 3 × 3
93=3 × 31

Step-3: Bring down the common factors in each column. The HCF is the product of these factors
27=3 × 3 × 3
93=3 × 31
HCF = 3 = 3

`:.` HCF of `27,93` is `3`


Here HCF is not 1, So `(27,93)` is not Co-Prime
5. are 25 and 30 co-primes

Solution:
Two numbers are said to be Co-Prime if they have no common factor other than 1 (In other words, Their highest common factor (HCF) is 1)

HCF of `(25,30)` is `5`


Step-1: Prime factorization of `25,30` using factor by division method

525
55
 1
 
230
315
55
 1

Step-2: Write each number as a product of primes, matching primes vertically when possible
25=5 × 5
30=2 × 3 × 5

Step-3: Bring down the common factors in each column. The HCF is the product of these factors
25=5 × 5
30=2 × 3 × 5
HCF = 5 = 5

`:.` HCF of `25,30` is `5`


Here HCF is not 1, So `(25,30)` is not Co-Prime

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12. Express 21 as the sum of three prime numbers
(Previous method)		14. Find all co-prime numbers from 1 to 100
(Next method)


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