What is the Greatest Common Factor of 96628 and 96636?

Greatest common factor (GCF) of 96628 and 96636 is 4.

GCF(96628,96636) = 4

We will now calculate the prime factors of 96628 and 96636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96628 and 96636.

How to find the GCF of 96628 and 96636?

We will first find the prime factorization of 96628 and 96636. After we will calculate the factors of 96628 and 96636 and find the biggest common factor number .

Step-1: Prime Factorization of 96628

Prime factors of 96628 are 2, 7, 17, 29. Prime factorization of 96628 in exponential form is:

96628 = 2² × 7² × 17¹ × 29¹

Step-2: Prime Factorization of 96636

Prime factors of 96636 are 2, 3, 8053. Prime factorization of 96636 in exponential form is:

96636 = 2² × 3¹ × 8053¹

Step-3: Factors of 96628

List of positive integer factors of 96628 that divides 96628 without a remainder.

1, 2, 4, 7, 14, 17, 28, 29, 34, 49, 58, 68, 98, 116, 119, 196, 203, 238, 406, 476, 493, 812, 833, 986, 1421, 1666, 1972, 2842, 3332, 3451, 5684, 6902, 13804, 24157, 48314

Step-4: Factors of 96636

List of positive integer factors of 96636 that divides 96628 without a remainder.

1, 2, 3, 4, 6, 12, 8053, 16106, 24159, 32212, 48318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96628 and 96636. The biggest common factor number is the GCF number.
So the greatest common factor 96628 and 96636 is 4.

Also check out the Least Common Multiple of 96628 and 96636