What is the Greatest Common Factor of 99675 and 99687?

Greatest common factor (GCF) of 99675 and 99687 is 3.

GCF(99675,99687) = 3

We will now calculate the prime factors of 99675 and 99687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99675 and 99687.

How to find the GCF of 99675 and 99687?

We will first find the prime factorization of 99675 and 99687. After we will calculate the factors of 99675 and 99687 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99687

Prime factors of 99687 are 3, 7, 47, 101. Prime factorization of 99687 in exponential form is:

99687 = 3¹ × 7¹ × 47¹ × 101¹

Step-3: Factors of 99675

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

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

Step-4: Factors of 99687

List of positive integer factors of 99687 that divides 99675 without a remainder.

1, 3, 7, 21, 47, 101, 141, 303, 329, 707, 987, 2121, 4747, 14241, 33229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99675 and 99687. The biggest common factor number is the GCF number.
So the greatest common factor 99675 and 99687 is 3.

Also check out the Least Common Multiple of 99675 and 99687