Question

Find the HCF of the following numbers 27 and 63

Answer 1

Prime Factorization of 27

Prime factors of 27 are 3. Prime factorization of 27 in exponential form is:

27 = 33

Prime Factorization of 63

Prime factors of 63 are 3, 7. Prime factorization of 63 in exponential form is:

63 = 32 × 71

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1, 3, 9

Factors of 63

List of positive integer factors of 63 that divides 27 without a remainder.

1, 3, 7, 9, 21

Greatest Common Factor

We found the factors and prime factorization of 27 and 63. The biggest common factor number is the GCF number.

So the greatest common factor 27 and 63 is 9.