What is the Greatest Common Factor of 99360 and 99375?

Greatest common factor (GCF) of 99360 and 99375 is 15.

GCF(99360,99375) = 15

We will now calculate the prime factors of 99360 and 99375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99360 and 99375.

How to find the GCF of 99360 and 99375?

We will first find the prime factorization of 99360 and 99375. After we will calculate the factors of 99360 and 99375 and find the biggest common factor number .

Step-1: Prime Factorization of 99360

Prime factors of 99360 are 2, 3, 5, 23. Prime factorization of 99360 in exponential form is:

99360 = 2⁵ × 3³ × 5¹ × 23¹

Step-2: Prime Factorization of 99375

Prime factors of 99375 are 3, 5, 53. Prime factorization of 99375 in exponential form is:

99375 = 3¹ × 5⁴ × 53¹

Step-3: Factors of 99360

List of positive integer factors of 99360 that divides 99360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 27, 30, 32, 36, 40, 45, 46, 48, 54, 60, 69, 72, 80, 90, 92, 96, 108, 115, 120, 135, 138, 144, 160, 180, 184, 207, 216, 230, 240, 270, 276, 288, 345, 360, 368, 414, 432, 460, 480, 540, 552, 621, 690, 720, 736, 828, 864, 920, 1035, 1080, 1104, 1242, 1380, 1440, 1656, 1840, 2070, 2160, 2208, 2484, 2760, 3105, 3312, 3680, 4140, 4320, 4968, 5520, 6210, 6624, 8280, 9936, 11040, 12420, 16560, 19872, 24840, 33120, 49680

Step-4: Factors of 99375

List of positive integer factors of 99375 that divides 99360 without a remainder.

1, 3, 5, 15, 25, 53, 75, 125, 159, 265, 375, 625, 795, 1325, 1875, 3975, 6625, 19875, 33125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99360 and 99375. The biggest common factor number is the GCF number.
So the greatest common factor 99360 and 99375 is 15.

Also check out the Least Common Multiple of 99360 and 99375