What is the Greatest Common Factor of 57975 and 57980?

Greatest common factor (GCF) of 57975 and 57980 is 5.

GCF(57975,57980) = 5

We will now calculate the prime factors of 57975 and 57980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57975 and 57980.

How to find the GCF of 57975 and 57980?

We will first find the prime factorization of 57975 and 57980. After we will calculate the factors of 57975 and 57980 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57980

Prime factors of 57980 are 2, 5, 13, 223. Prime factorization of 57980 in exponential form is:

57980 = 2² × 5¹ × 13¹ × 223¹

Step-3: Factors of 57975

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

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

Step-4: Factors of 57980

List of positive integer factors of 57980 that divides 57975 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 223, 260, 446, 892, 1115, 2230, 2899, 4460, 5798, 11596, 14495, 28990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57975 and 57980. The biggest common factor number is the GCF number.
So the greatest common factor 57975 and 57980 is 5.

Also check out the Least Common Multiple of 57975 and 57980