What is the Greatest Common Factor of 57988 and 58004?

Greatest common factor (GCF) of 57988 and 58004 is 4.

GCF(57988,58004) = 4

We will now calculate the prime factors of 57988 and 58004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57988 and 58004.

How to find the GCF of 57988 and 58004?

We will first find the prime factorization of 57988 and 58004. After we will calculate the factors of 57988 and 58004 and find the biggest common factor number .

Step-1: Prime Factorization of 57988

Prime factors of 57988 are 2, 7, 19, 109. Prime factorization of 57988 in exponential form is:

57988 = 2² × 7¹ × 19¹ × 109¹

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 57988

List of positive integer factors of 57988 that divides 57988 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 109, 133, 218, 266, 436, 532, 763, 1526, 2071, 3052, 4142, 8284, 14497, 28994

Step-4: Factors of 58004

List of positive integer factors of 58004 that divides 57988 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 57988 and 58004. The biggest common factor number is the GCF number.
So the greatest common factor 57988 and 58004 is 4.

Also check out the Least Common Multiple of 57988 and 58004