What is the Greatest Common Factor of 57988 and 58000?

Greatest common factor (GCF) of 57988 and 58000 is 4.

GCF(57988,58000) = 4

We will now calculate the prime factors of 57988 and 58000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57988 and 58000.

How to find the GCF of 57988 and 58000?

We will first find the prime factorization of 57988 and 58000. After we will calculate the factors of 57988 and 58000 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 58000

Prime factors of 58000 are 2, 5, 29. Prime factorization of 58000 in exponential form is:

58000 = 2⁴ × 5³ × 29¹

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 58000

List of positive integer factors of 58000 that divides 57988 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 40, 50, 58, 80, 100, 116, 125, 145, 200, 232, 250, 290, 400, 464, 500, 580, 725, 1000, 1160, 1450, 2000, 2320, 2900, 3625, 5800, 7250, 11600, 14500, 29000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57988 and 58000. The biggest common factor number is the GCF number.
So the greatest common factor 57988 and 58000 is 4.

Also check out the Least Common Multiple of 57988 and 58000