What is the Greatest Common Factor of 99120 and 99140?

Greatest common factor (GCF) of 99120 and 99140 is 20.

GCF(99120,99140) = 20

We will now calculate the prime factors of 99120 and 99140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99120 and 99140.

How to find the GCF of 99120 and 99140?

We will first find the prime factorization of 99120 and 99140. After we will calculate the factors of 99120 and 99140 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 99140

Prime factors of 99140 are 2, 5, 4957. Prime factorization of 99140 in exponential form is:

99140 = 2² × 5¹ × 4957¹

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 99140

List of positive integer factors of 99140 that divides 99120 without a remainder.

1, 2, 4, 5, 10, 20, 4957, 9914, 19828, 24785, 49570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99120 and 99140. The biggest common factor number is the GCF number.
So the greatest common factor 99120 and 99140 is 20.

Also check out the Least Common Multiple of 99120 and 99140