What is the Greatest Common Factor of 57987 and 58004?

Greatest common factor (GCF) of 57987 and 58004 is 17.

GCF(57987,58004) = 17

We will now calculate the prime factors of 57987 and 58004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57987 and 58004.

How to find the GCF of 57987 and 58004?

We will first find the prime factorization of 57987 and 58004. After we will calculate the factors of 57987 and 58004 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 58004

Prime factors of 58004 are 2, 17, 853. Prime factorization of 58004 in exponential form is:

58004 = 2² × 17¹ × 853¹

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 58004

List of positive integer factors of 58004 that divides 57987 without a remainder.

1, 2, 4, 17, 34, 68, 853, 1706, 3412, 14501, 29002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57987 and 58004. The biggest common factor number is the GCF number.
So the greatest common factor 57987 and 58004 is 17.

Also check out the Least Common Multiple of 57987 and 58004