What is the Greatest Common Factor of 79688 and 79708?

Greatest common factor (GCF) of 79688 and 79708 is 4.

GCF(79688,79708) = 4

We will now calculate the prime factors of 79688 and 79708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79688 and 79708.

How to find the GCF of 79688 and 79708?

We will first find the prime factorization of 79688 and 79708. After we will calculate the factors of 79688 and 79708 and find the biggest common factor number .

Step-1: Prime Factorization of 79688

Prime factors of 79688 are 2, 7, 1423. Prime factorization of 79688 in exponential form is:

79688 = 2³ × 7¹ × 1423¹

Step-2: Prime Factorization of 79708

Prime factors of 79708 are 2, 19927. Prime factorization of 79708 in exponential form is:

79708 = 2² × 19927¹

Step-3: Factors of 79688

List of positive integer factors of 79688 that divides 79688 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1423, 2846, 5692, 9961, 11384, 19922, 39844

Step-4: Factors of 79708

List of positive integer factors of 79708 that divides 79688 without a remainder.

1, 2, 4, 19927, 39854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79688 and 79708. The biggest common factor number is the GCF number.
So the greatest common factor 79688 and 79708 is 4.

Also check out the Least Common Multiple of 79688 and 79708