Question

find the HCF of 14 and 26​

Answer 1

Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

Prime Factorization of 26

Prime factors of 26 are 2, 13. Prime factorization of 26 in exponential form is:

26 = 21 × 131

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1, 2, 7

Factors of 26

List of positive integer factors of 26 that divides 14 without a remainder.

1, 2, 13

HCF

We found the factors and prime factorization of 14 and 26. The biggest common factor number is the HCF number.

So the HCF 14 and 26 is 2.