What is the Greatest Common Factor of 99660 and 99675?

Greatest common factor (GCF) of 99660 and 99675 is 15.

GCF(99660,99675) = 15

We will now calculate the prime factors of 99660 and 99675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99660 and 99675.

How to find the GCF of 99660 and 99675?

We will first find the prime factorization of 99660 and 99675. After we will calculate the factors of 99660 and 99675 and find the biggest common factor number .

Step-1: Prime Factorization of 99660

Prime factors of 99660 are 2, 3, 5, 11, 151. Prime factorization of 99660 in exponential form is:

99660 = 2² × 3¹ × 5¹ × 11¹ × 151¹

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 99660

List of positive integer factors of 99660 that divides 99660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 151, 165, 220, 302, 330, 453, 604, 660, 755, 906, 1510, 1661, 1812, 2265, 3020, 3322, 4530, 4983, 6644, 8305, 9060, 9966, 16610, 19932, 24915, 33220, 49830

Step-4: Factors of 99675

List of positive integer factors of 99675 that divides 99660 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 99660 and 99675. The biggest common factor number is the GCF number.
So the greatest common factor 99660 and 99675 is 15.

Also check out the Least Common Multiple of 99660 and 99675