What is the Greatest Common Factor of 57974 and 57984?

Greatest common factor (GCF) of 57974 and 57984 is 2.

GCF(57974,57984) = 2

We will now calculate the prime factors of 57974 and 57984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57974 and 57984.

How to find the GCF of 57974 and 57984?

We will first find the prime factorization of 57974 and 57984. After we will calculate the factors of 57974 and 57984 and find the biggest common factor number .

Step-1: Prime Factorization of 57974

Prime factors of 57974 are 2, 7, 41, 101. Prime factorization of 57974 in exponential form is:

57974 = 2¹ × 7¹ × 41¹ × 101¹

Step-2: 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-3: Factors of 57974

List of positive integer factors of 57974 that divides 57974 without a remainder.

1, 2, 7, 14, 41, 82, 101, 202, 287, 574, 707, 1414, 4141, 8282, 28987

Step-4: Factors of 57984

List of positive integer factors of 57984 that divides 57974 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57974 and 57984. The biggest common factor number is the GCF number.
So the greatest common factor 57974 and 57984 is 2.

Also check out the Least Common Multiple of 57974 and 57984