What is the Greatest Common Factor of 96648 and 96668?

Greatest common factor (GCF) of 96648 and 96668 is 4.

GCF(96648,96668) = 4

We will now calculate the prime factors of 96648 and 96668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96648 and 96668.

How to find the GCF of 96648 and 96668?

We will first find the prime factorization of 96648 and 96668. After we will calculate the factors of 96648 and 96668 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96668

Prime factors of 96668 are 2, 11, 13. Prime factorization of 96668 in exponential form is:

96668 = 2² × 11¹ × 13³

Step-3: Factors of 96648

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

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

Step-4: Factors of 96668

List of positive integer factors of 96668 that divides 96648 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 2197, 3718, 4394, 7436, 8788, 24167, 48334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96648 and 96668. The biggest common factor number is the GCF number.
So the greatest common factor 96648 and 96668 is 4.

Also check out the Least Common Multiple of 96648 and 96668