What is the Greatest Common Factor of 57987 and 57995?

Greatest common factor (GCF) of 57987 and 57995 is 1.

GCF(57987,57995) = 1

We will now calculate the prime factors of 57987 and 57995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57987 and 57995.

How to find the GCF of 57987 and 57995?

We will first find the prime factorization of 57987 and 57995. After we will calculate the factors of 57987 and 57995 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 57995

Prime factors of 57995 are 5, 7, 1657. Prime factorization of 57995 in exponential form is:

57995 = 5¹ × 7¹ × 1657¹

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 57995

List of positive integer factors of 57995 that divides 57987 without a remainder.

1, 5, 7, 35, 1657, 8285, 11599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57987 and 57995. The biggest common factor number is the GCF number.
So the greatest common factor 57987 and 57995 is 1.

Also check out the Least Common Multiple of 57987 and 57995