What is the Greatest Common Factor of 87900 and 87912?

Greatest common factor (GCF) of 87900 and 87912 is 12.

GCF(87900,87912) = 12

We will now calculate the prime factors of 87900 and 87912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87900 and 87912.

How to find the GCF of 87900 and 87912?

We will first find the prime factorization of 87900 and 87912. After we will calculate the factors of 87900 and 87912 and find the biggest common factor number .

Step-1: Prime Factorization of 87900

Prime factors of 87900 are 2, 3, 5, 293. Prime factorization of 87900 in exponential form is:

87900 = 2² × 3¹ × 5² × 293¹

Step-2: Prime Factorization of 87912

Prime factors of 87912 are 2, 3, 11, 37. Prime factorization of 87912 in exponential form is:

87912 = 2³ × 3³ × 11¹ × 37¹

Step-3: Factors of 87900

List of positive integer factors of 87900 that divides 87900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 293, 300, 586, 879, 1172, 1465, 1758, 2930, 3516, 4395, 5860, 7325, 8790, 14650, 17580, 21975, 29300, 43950

Step-4: Factors of 87912

List of positive integer factors of 87912 that divides 87900 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 37, 44, 54, 66, 72, 74, 88, 99, 108, 111, 132, 148, 198, 216, 222, 264, 296, 297, 333, 396, 407, 444, 594, 666, 792, 814, 888, 999, 1188, 1221, 1332, 1628, 1998, 2376, 2442, 2664, 3256, 3663, 3996, 4884, 7326, 7992, 9768, 10989, 14652, 21978, 29304, 43956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87900 and 87912. The biggest common factor number is the GCF number.
So the greatest common factor 87900 and 87912 is 12.

Also check out the Least Common Multiple of 87900 and 87912