What is the Greatest Common Factor of 57974 and 57988?

Greatest common factor (GCF) of 57974 and 57988 is 14.

GCF(57974,57988) = 14

We will now calculate the prime factors of 57974 and 57988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57974 and 57988.

How to find the GCF of 57974 and 57988?

We will first find the prime factorization of 57974 and 57988. After we will calculate the factors of 57974 and 57988 and find the biggest common factor number .

Step-1: Prime Factorization of 57974

Prime factors of 57974 are 2, 7, 41, 101. Prime factorization of 57974 in exponential form is:

57974 = 2¹ × 7¹ × 41¹ × 101¹

Step-2: 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-3: Factors of 57974

List of positive integer factors of 57974 that divides 57974 without a remainder.

1, 2, 7, 14, 41, 82, 101, 202, 287, 574, 707, 1414, 4141, 8282, 28987

Step-4: Factors of 57988

List of positive integer factors of 57988 that divides 57974 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57974 and 57988. The biggest common factor number is the GCF number.
So the greatest common factor 57974 and 57988 is 14.

Also check out the Least Common Multiple of 57974 and 57988