What is the Greatest Common Factor of 57984 and 57991?

Greatest common factor (GCF) of 57984 and 57991 is 1.

GCF(57984,57991) = 1

We will now calculate the prime factors of 57984 and 57991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57984 and 57991.

How to find the GCF of 57984 and 57991?

We will first find the prime factorization of 57984 and 57991. After we will calculate the factors of 57984 and 57991 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 57991

Prime factors of 57991 are 57991. Prime factorization of 57991 in exponential form is:

57991 = 57991¹

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 57991

List of positive integer factors of 57991 that divides 57984 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57984 and 57991. The biggest common factor number is the GCF number.
So the greatest common factor 57984 and 57991 is 1.

Also check out the Least Common Multiple of 57984 and 57991