What is the Greatest Common Factor of 57975 and 57993?

Greatest common factor (GCF) of 57975 and 57993 is 3.

GCF(57975,57993) = 3

We will now calculate the prime factors of 57975 and 57993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57975 and 57993.

How to find the GCF of 57975 and 57993?

We will first find the prime factorization of 57975 and 57993. After we will calculate the factors of 57975 and 57993 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 57993

Prime factors of 57993 are 3, 13, 1487. Prime factorization of 57993 in exponential form is:

57993 = 3¹ × 13¹ × 1487¹

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 57993

List of positive integer factors of 57993 that divides 57975 without a remainder.

1, 3, 13, 39, 1487, 4461, 19331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57975 and 57993. The biggest common factor number is the GCF number.
So the greatest common factor 57975 and 57993 is 3.

Also check out the Least Common Multiple of 57975 and 57993