What is the Greatest Common Factor of 57952 and 57965?

Greatest common factor (GCF) of 57952 and 57965 is 1.

GCF(57952,57965) = 1

We will now calculate the prime factors of 57952 and 57965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57952 and 57965.

How to find the GCF of 57952 and 57965?

We will first find the prime factorization of 57952 and 57965. After we will calculate the factors of 57952 and 57965 and find the biggest common factor number .

Step-1: Prime Factorization of 57952

Prime factors of 57952 are 2, 1811. Prime factorization of 57952 in exponential form is:

57952 = 2⁵ × 1811¹

Step-2: Prime Factorization of 57965

Prime factors of 57965 are 5, 11593. Prime factorization of 57965 in exponential form is:

57965 = 5¹ × 11593¹

Step-3: Factors of 57952

List of positive integer factors of 57952 that divides 57952 without a remainder.

1, 2, 4, 8, 16, 32, 1811, 3622, 7244, 14488, 28976

Step-4: Factors of 57965

List of positive integer factors of 57965 that divides 57952 without a remainder.

1, 5, 11593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57952 and 57965. The biggest common factor number is the GCF number.
So the greatest common factor 57952 and 57965 is 1.

Also check out the Least Common Multiple of 57952 and 57965