What is the Greatest Common Factor of 79624 and 79628?

Greatest common factor (GCF) of 79624 and 79628 is 4.

GCF(79624,79628) = 4

We will now calculate the prime factors of 79624 and 79628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79624 and 79628.

How to find the GCF of 79624 and 79628?

We will first find the prime factorization of 79624 and 79628. After we will calculate the factors of 79624 and 79628 and find the biggest common factor number .

Step-1: Prime Factorization of 79624

Prime factors of 79624 are 2, 37, 269. Prime factorization of 79624 in exponential form is:

79624 = 2³ × 37¹ × 269¹

Step-2: Prime Factorization of 79628

Prime factors of 79628 are 2, 17, 1171. Prime factorization of 79628 in exponential form is:

79628 = 2² × 17¹ × 1171¹

Step-3: Factors of 79624

List of positive integer factors of 79624 that divides 79624 without a remainder.

1, 2, 4, 8, 37, 74, 148, 269, 296, 538, 1076, 2152, 9953, 19906, 39812

Step-4: Factors of 79628

List of positive integer factors of 79628 that divides 79624 without a remainder.

1, 2, 4, 17, 34, 68, 1171, 2342, 4684, 19907, 39814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79624 and 79628. The biggest common factor number is the GCF number.
So the greatest common factor 79624 and 79628 is 4.

Also check out the Least Common Multiple of 79624 and 79628