What is the Greatest Common Factor of 56952 and 56972?

Greatest common factor (GCF) of 56952 and 56972 is 4.

GCF(56952,56972) = 4

We will now calculate the prime factors of 56952 and 56972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56952 and 56972.

How to find the GCF of 56952 and 56972?

We will first find the prime factorization of 56952 and 56972. After we will calculate the factors of 56952 and 56972 and find the biggest common factor number .

Step-1: Prime Factorization of 56952

Prime factors of 56952 are 2, 3, 7, 113. Prime factorization of 56952 in exponential form is:

56952 = 2³ × 3² × 7¹ × 113¹

Step-2: Prime Factorization of 56972

Prime factors of 56972 are 2, 14243. Prime factorization of 56972 in exponential form is:

56972 = 2² × 14243¹

Step-3: Factors of 56952

List of positive integer factors of 56952 that divides 56952 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 113, 126, 168, 226, 252, 339, 452, 504, 678, 791, 904, 1017, 1356, 1582, 2034, 2373, 2712, 3164, 4068, 4746, 6328, 7119, 8136, 9492, 14238, 18984, 28476

Step-4: Factors of 56972

List of positive integer factors of 56972 that divides 56952 without a remainder.

1, 2, 4, 14243, 28486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56952 and 56972. The biggest common factor number is the GCF number.
So the greatest common factor 56952 and 56972 is 4.

Also check out the Least Common Multiple of 56952 and 56972