What is the Greatest Common Factor of 57954 and 57972?

Greatest common factor (GCF) of 57954 and 57972 is 6.

GCF(57954,57972) = 6

We will now calculate the prime factors of 57954 and 57972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57954 and 57972.

How to find the GCF of 57954 and 57972?

We will first find the prime factorization of 57954 and 57972. After we will calculate the factors of 57954 and 57972 and find the biggest common factor number .

Step-1: Prime Factorization of 57954

Prime factors of 57954 are 2, 3, 13, 743. Prime factorization of 57954 in exponential form is:

57954 = 2¹ × 3¹ × 13¹ × 743¹

Step-2: Prime Factorization of 57972

Prime factors of 57972 are 2, 3, 4831. Prime factorization of 57972 in exponential form is:

57972 = 2² × 3¹ × 4831¹

Step-3: Factors of 57954

List of positive integer factors of 57954 that divides 57954 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 743, 1486, 2229, 4458, 9659, 19318, 28977

Step-4: Factors of 57972

List of positive integer factors of 57972 that divides 57954 without a remainder.

1, 2, 3, 4, 6, 12, 4831, 9662, 14493, 19324, 28986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57954 and 57972. The biggest common factor number is the GCF number.
So the greatest common factor 57954 and 57972 is 6.

Also check out the Least Common Multiple of 57954 and 57972