What is the Greatest Common Factor of 57987 and 57997?

Greatest common factor (GCF) of 57987 and 57997 is 1.

GCF(57987,57997) = 1

We will now calculate the prime factors of 57987 and 57997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57987 and 57997.

How to find the GCF of 57987 and 57997?

We will first find the prime factorization of 57987 and 57997. After we will calculate the factors of 57987 and 57997 and find the biggest common factor number .

Step-1: Prime Factorization of 57987

Prime factors of 57987 are 3, 17, 379. Prime factorization of 57987 in exponential form is:

57987 = 3² × 17¹ × 379¹

Step-2: Prime Factorization of 57997

Prime factors of 57997 are 59, 983. Prime factorization of 57997 in exponential form is:

57997 = 59¹ × 983¹

Step-3: Factors of 57987

List of positive integer factors of 57987 that divides 57987 without a remainder.

1, 3, 9, 17, 51, 153, 379, 1137, 3411, 6443, 19329

Step-4: Factors of 57997

List of positive integer factors of 57997 that divides 57987 without a remainder.

1, 59, 983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57987 and 57997. The biggest common factor number is the GCF number.
So the greatest common factor 57987 and 57997 is 1.

Also check out the Least Common Multiple of 57987 and 57997