What is the Greatest Common Factor of 96635 and 96646?

Greatest common factor (GCF) of 96635 and 96646 is 11.

GCF(96635,96646) = 11

We will now calculate the prime factors of 96635 and 96646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96635 and 96646.

How to find the GCF of 96635 and 96646?

We will first find the prime factorization of 96635 and 96646. After we will calculate the factors of 96635 and 96646 and find the biggest common factor number .

Step-1: Prime Factorization of 96635

Prime factors of 96635 are 5, 7, 11, 251. Prime factorization of 96635 in exponential form is:

96635 = 5¹ × 7¹ × 11¹ × 251¹

Step-2: 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-3: Factors of 96635

List of positive integer factors of 96635 that divides 96635 without a remainder.

1, 5, 7, 11, 35, 55, 77, 251, 385, 1255, 1757, 2761, 8785, 13805, 19327

Step-4: Factors of 96646

List of positive integer factors of 96646 that divides 96635 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96635 and 96646. The biggest common factor number is the GCF number.
So the greatest common factor 96635 and 96646 is 11.

Also check out the Least Common Multiple of 96635 and 96646