What is the Greatest Common Factor of 96628 and 96648?

Greatest common factor (GCF) of 96628 and 96648 is 4.

GCF(96628,96648) = 4

We will now calculate the prime factors of 96628 and 96648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96628 and 96648.

How to find the GCF of 96628 and 96648?

We will first find the prime factorization of 96628 and 96648. After we will calculate the factors of 96628 and 96648 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 96648

Prime factors of 96648 are 2, 3, 4027. Prime factorization of 96648 in exponential form is:

96648 = 2³ × 3¹ × 4027¹

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 96648

List of positive integer factors of 96648 that divides 96628 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4027, 8054, 12081, 16108, 24162, 32216, 48324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96628 and 96648. The biggest common factor number is the GCF number.
So the greatest common factor 96628 and 96648 is 4.

Also check out the Least Common Multiple of 96628 and 96648