What is the Greatest Common Factor of 57968 and 57975?

Greatest common factor (GCF) of 57968 and 57975 is 1.

GCF(57968,57975) = 1

We will now calculate the prime factors of 57968 and 57975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57968 and 57975.

How to find the GCF of 57968 and 57975?

We will first find the prime factorization of 57968 and 57975. After we will calculate the factors of 57968 and 57975 and find the biggest common factor number .

Step-1: Prime Factorization of 57968

Prime factors of 57968 are 2, 3623. Prime factorization of 57968 in exponential form is:

57968 = 2⁴ × 3623¹

Step-2: Prime Factorization of 57975

Prime factors of 57975 are 3, 5, 773. Prime factorization of 57975 in exponential form is:

57975 = 3¹ × 5² × 773¹

Step-3: Factors of 57968

List of positive integer factors of 57968 that divides 57968 without a remainder.

1, 2, 4, 8, 16, 3623, 7246, 14492, 28984

Step-4: Factors of 57975

List of positive integer factors of 57975 that divides 57968 without a remainder.

1, 3, 5, 15, 25, 75, 773, 2319, 3865, 11595, 19325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57968 and 57975. The biggest common factor number is the GCF number.
So the greatest common factor 57968 and 57975 is 1.

Also check out the Least Common Multiple of 57968 and 57975