What is the Greatest Common Factor of 57988 and 58007?

Greatest common factor (GCF) of 57988 and 58007 is 19.

GCF(57988,58007) = 19

We will now calculate the prime factors of 57988 and 58007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57988 and 58007.

How to find the GCF of 57988 and 58007?

We will first find the prime factorization of 57988 and 58007. After we will calculate the factors of 57988 and 58007 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 58007

Prime factors of 58007 are 19, 43, 71. Prime factorization of 58007 in exponential form is:

58007 = 19¹ × 43¹ × 71¹

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 58007

List of positive integer factors of 58007 that divides 57988 without a remainder.

1, 19, 43, 71, 817, 1349, 3053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57988 and 58007. The biggest common factor number is the GCF number.
So the greatest common factor 57988 and 58007 is 19.

Also check out the Least Common Multiple of 57988 and 58007