What is the Greatest Common Factor of 99657 and 99675?

Greatest common factor (GCF) of 99657 and 99675 is 9.

GCF(99657,99675) = 9

We will now calculate the prime factors of 99657 and 99675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99657 and 99675.

How to find the GCF of 99657 and 99675?

We will first find the prime factorization of 99657 and 99675. After we will calculate the factors of 99657 and 99675 and find the biggest common factor number .

Step-1: Prime Factorization of 99657

Prime factors of 99657 are 3, 3691. Prime factorization of 99657 in exponential form is:

99657 = 3³ × 3691¹

Step-2: Prime Factorization of 99675

Prime factors of 99675 are 3, 5, 443. Prime factorization of 99675 in exponential form is:

99675 = 3² × 5² × 443¹

Step-3: Factors of 99657

List of positive integer factors of 99657 that divides 99657 without a remainder.

1, 3, 9, 27, 3691, 11073, 33219

Step-4: Factors of 99675

List of positive integer factors of 99675 that divides 99657 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 443, 1329, 2215, 3987, 6645, 11075, 19935, 33225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99657 and 99675. The biggest common factor number is the GCF number.
So the greatest common factor 99657 and 99675 is 9.

Also check out the Least Common Multiple of 99657 and 99675