What is the Greatest Common Factor of 96657 and 96668?

Greatest common factor (GCF) of 96657 and 96668 is 11.

GCF(96657,96668) = 11

We will now calculate the prime factors of 96657 and 96668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96657 and 96668.

How to find the GCF of 96657 and 96668?

We will first find the prime factorization of 96657 and 96668. After we will calculate the factors of 96657 and 96668 and find the biggest common factor number .

Step-1: Prime Factorization of 96657

Prime factors of 96657 are 3, 11, 29, 101. Prime factorization of 96657 in exponential form is:

96657 = 3¹ × 11¹ × 29¹ × 101¹

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 96657

List of positive integer factors of 96657 that divides 96657 without a remainder.

1, 3, 11, 29, 33, 87, 101, 303, 319, 957, 1111, 2929, 3333, 8787, 32219

Step-4: Factors of 96668

List of positive integer factors of 96668 that divides 96657 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 96657 and 96668. The biggest common factor number is the GCF number.
So the greatest common factor 96657 and 96668 is 11.

Also check out the Least Common Multiple of 96657 and 96668