What is the Greatest Common Factor of 56945 and 56952?

Greatest common factor (GCF) of 56945 and 56952 is 7.

GCF(56945,56952) = 7

We will now calculate the prime factors of 56945 and 56952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56945 and 56952.

How to find the GCF of 56945 and 56952?

We will first find the prime factorization of 56945 and 56952. After we will calculate the factors of 56945 and 56952 and find the biggest common factor number .

Step-1: Prime Factorization of 56945

Prime factors of 56945 are 5, 7, 1627. Prime factorization of 56945 in exponential form is:

56945 = 5¹ × 7¹ × 1627¹

Step-2: 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-3: Factors of 56945

List of positive integer factors of 56945 that divides 56945 without a remainder.

1, 5, 7, 35, 1627, 8135, 11389

Step-4: Factors of 56952

List of positive integer factors of 56952 that divides 56945 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56945 and 56952. The biggest common factor number is the GCF number.
So the greatest common factor 56945 and 56952 is 7.

Also check out the Least Common Multiple of 56945 and 56952