What is the Greatest Common Factor of 79628 and 79642?

Greatest common factor (GCF) of 79628 and 79642 is 2.

GCF(79628,79642) = 2

We will now calculate the prime factors of 79628 and 79642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79628 and 79642.

How to find the GCF of 79628 and 79642?

We will first find the prime factorization of 79628 and 79642. After we will calculate the factors of 79628 and 79642 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79642

Prime factors of 79642 are 2, 39821. Prime factorization of 79642 in exponential form is:

79642 = 2¹ × 39821¹

Step-3: Factors of 79628

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

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

Step-4: Factors of 79642

List of positive integer factors of 79642 that divides 79628 without a remainder.

1, 2, 39821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79628 and 79642. The biggest common factor number is the GCF number.
So the greatest common factor 79628 and 79642 is 2.

Also check out the Least Common Multiple of 79628 and 79642