What is the Greatest Common Factor of 99120 and 99131?

Greatest common factor (GCF) of 99120 and 99131 is 1.

GCF(99120,99131) = 1

We will now calculate the prime factors of 99120 and 99131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99120 and 99131.

How to find the GCF of 99120 and 99131?

We will first find the prime factorization of 99120 and 99131. After we will calculate the factors of 99120 and 99131 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 99131

Prime factors of 99131 are 99131. Prime factorization of 99131 in exponential form is:

99131 = 99131¹

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 99131

List of positive integer factors of 99131 that divides 99120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99120 and 99131. The biggest common factor number is the GCF number.
So the greatest common factor 99120 and 99131 is 1.

Also check out the Least Common Multiple of 99120 and 99131