What is the Greatest Common Factor of 99120 and 99125?

Greatest common factor (GCF) of 99120 and 99125 is 5.

GCF(99120,99125) = 5

We will now calculate the prime factors of 99120 and 99125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99120 and 99125.

How to find the GCF of 99120 and 99125?

We will first find the prime factorization of 99120 and 99125. After we will calculate the factors of 99120 and 99125 and find the biggest common factor number .

Step-1: Prime Factorization of 99120

Prime factors of 99120 are 2, 3, 5, 7, 59. Prime factorization of 99120 in exponential form is:

99120 = 2⁴ × 3¹ × 5¹ × 7¹ × 59¹

Step-2: Prime Factorization of 99125

Prime factors of 99125 are 5, 13, 61. Prime factorization of 99125 in exponential form is:

99125 = 5³ × 13¹ × 61¹

Step-3: Factors of 99120

List of positive integer factors of 99120 that divides 99120 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 59, 60, 70, 80, 84, 105, 112, 118, 120, 140, 168, 177, 210, 236, 240, 280, 295, 336, 354, 413, 420, 472, 560, 590, 708, 826, 840, 885, 944, 1180, 1239, 1416, 1652, 1680, 1770, 2065, 2360, 2478, 2832, 3304, 3540, 4130, 4720, 4956, 6195, 6608, 7080, 8260, 9912, 12390, 14160, 16520, 19824, 24780, 33040, 49560

Step-4: Factors of 99125

List of positive integer factors of 99125 that divides 99120 without a remainder.

1, 5, 13, 25, 61, 65, 125, 305, 325, 793, 1525, 1625, 3965, 7625, 19825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99120 and 99125. The biggest common factor number is the GCF number.
So the greatest common factor 99120 and 99125 is 5.

Also check out the Least Common Multiple of 99120 and 99125