What is the Greatest Common Factor of 96646 and 96657?

Greatest common factor (GCF) of 96646 and 96657 is 11.

GCF(96646,96657) = 11

We will now calculate the prime factors of 96646 and 96657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96646 and 96657.

How to find the GCF of 96646 and 96657?

We will first find the prime factorization of 96646 and 96657. After we will calculate the factors of 96646 and 96657 and find the biggest common factor number .

Step-1: Prime Factorization of 96646

Prime factors of 96646 are 2, 11, 23, 191. Prime factorization of 96646 in exponential form is:

96646 = 2¹ × 11¹ × 23¹ × 191¹

Step-2: 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-3: Factors of 96646

List of positive integer factors of 96646 that divides 96646 without a remainder.

1, 2, 11, 22, 23, 46, 191, 253, 382, 506, 2101, 4202, 4393, 8786, 48323

Step-4: Factors of 96657

List of positive integer factors of 96657 that divides 96646 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96646 and 96657. The biggest common factor number is the GCF number.
So the greatest common factor 96646 and 96657 is 11.

Also check out the Least Common Multiple of 96646 and 96657