What is the Greatest Common Factor of 57984 and 57996?

Greatest common factor (GCF) of 57984 and 57996 is 12.

GCF(57984,57996) = 12

We will now calculate the prime factors of 57984 and 57996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57984 and 57996.

How to find the GCF of 57984 and 57996?

We will first find the prime factorization of 57984 and 57996. After we will calculate the factors of 57984 and 57996 and find the biggest common factor number .

Step-1: Prime Factorization of 57984

Prime factors of 57984 are 2, 3, 151. Prime factorization of 57984 in exponential form is:

57984 = 2⁷ × 3¹ × 151¹

Step-2: Prime Factorization of 57996

Prime factors of 57996 are 2, 3, 179. Prime factorization of 57996 in exponential form is:

57996 = 2² × 3⁴ × 179¹

Step-3: Factors of 57984

List of positive integer factors of 57984 that divides 57984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 151, 192, 302, 384, 453, 604, 906, 1208, 1812, 2416, 3624, 4832, 7248, 9664, 14496, 19328, 28992

Step-4: Factors of 57996

List of positive integer factors of 57996 that divides 57984 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 179, 324, 358, 537, 716, 1074, 1611, 2148, 3222, 4833, 6444, 9666, 14499, 19332, 28998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57984 and 57996. The biggest common factor number is the GCF number.
So the greatest common factor 57984 and 57996 is 12.

Also check out the Least Common Multiple of 57984 and 57996