What is the Greatest Common Factor of 99468 and 99480?

Greatest common factor (GCF) of 99468 and 99480 is 12.

GCF(99468,99480) = 12

We will now calculate the prime factors of 99468 and 99480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99468 and 99480.

How to find the GCF of 99468 and 99480?

We will first find the prime factorization of 99468 and 99480. After we will calculate the factors of 99468 and 99480 and find the biggest common factor number .

Step-1: Prime Factorization of 99468

Prime factors of 99468 are 2, 3, 307. Prime factorization of 99468 in exponential form is:

99468 = 2² × 3⁴ × 307¹

Step-2: Prime Factorization of 99480

Prime factors of 99480 are 2, 3, 5, 829. Prime factorization of 99480 in exponential form is:

99480 = 2³ × 3¹ × 5¹ × 829¹

Step-3: Factors of 99468

List of positive integer factors of 99468 that divides 99468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 307, 324, 614, 921, 1228, 1842, 2763, 3684, 5526, 8289, 11052, 16578, 24867, 33156, 49734

Step-4: Factors of 99480

List of positive integer factors of 99480 that divides 99468 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 829, 1658, 2487, 3316, 4145, 4974, 6632, 8290, 9948, 12435, 16580, 19896, 24870, 33160, 49740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99468 and 99480. The biggest common factor number is the GCF number.
So the greatest common factor 99468 and 99480 is 12.

Also check out the Least Common Multiple of 99468 and 99480