What is the Greatest Common Factor of 79628 and 79645?

Greatest common factor (GCF) of 79628 and 79645 is 17.

GCF(79628,79645) = 17

We will now calculate the prime factors of 79628 and 79645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79628 and 79645.

How to find the GCF of 79628 and 79645?

We will first find the prime factorization of 79628 and 79645. After we will calculate the factors of 79628 and 79645 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 79645

Prime factors of 79645 are 5, 17, 937. Prime factorization of 79645 in exponential form is:

79645 = 5¹ × 17¹ × 937¹

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 79645

List of positive integer factors of 79645 that divides 79628 without a remainder.

1, 5, 17, 85, 937, 4685, 15929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79628 and 79645. The biggest common factor number is the GCF number.
So the greatest common factor 79628 and 79645 is 17.

Also check out the Least Common Multiple of 79628 and 79645