What is the Greatest Common Factor of 96628 and 96640?

Greatest common factor (GCF) of 96628 and 96640 is 4.

GCF(96628,96640) = 4

We will now calculate the prime factors of 96628 and 96640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96628 and 96640.

How to find the GCF of 96628 and 96640?

We will first find the prime factorization of 96628 and 96640. After we will calculate the factors of 96628 and 96640 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 96640

Prime factors of 96640 are 2, 5, 151. Prime factorization of 96640 in exponential form is:

96640 = 2⁷ × 5¹ × 151¹

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 96640

List of positive integer factors of 96640 that divides 96628 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 151, 160, 302, 320, 604, 640, 755, 1208, 1510, 2416, 3020, 4832, 6040, 9664, 12080, 19328, 24160, 48320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96628 and 96640. The biggest common factor number is the GCF number.
So the greatest common factor 96628 and 96640 is 4.

Also check out the Least Common Multiple of 96628 and 96640