Question

The HCF of 36 and 78 is

Answer 1

Answer:-

Greatest common factor (GCF) of 36 and 78 is 6. We will now calculate the prime factors of 36 and 78, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 78.

Answer 2

Given,

The given main terms are 36 and 78

To find,

The HCF or Highest Common Factor of the given main terms.

Solution,

To calculate the HCF or Highest Common Factor, of the given numbers, we need to calculate the prime factors of the given numbers.

Prime factorization :

36 = 2 × 2 × 3 × 3

78 = 2 × 3 × 13

So, the common prime factors of the two terms are 2 and 3. Now, the multiplication result of the two common terms will be the result of HCF of the two given numbers.

HCF = 2 × 3 = 6

Hence,the HCF or Highest Common Factor of the given numbers is 6.