What is the Greatest Common Factor of 57974 and 57994?

Greatest common factor (GCF) of 57974 and 57994 is 2.

GCF(57974,57994) = 2

We will now calculate the prime factors of 57974 and 57994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57974 and 57994.

How to find the GCF of 57974 and 57994?

We will first find the prime factorization of 57974 and 57994. After we will calculate the factors of 57974 and 57994 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 57994

Prime factors of 57994 are 2, 107, 271. Prime factorization of 57994 in exponential form is:

57994 = 2¹ × 107¹ × 271¹

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 57994

List of positive integer factors of 57994 that divides 57974 without a remainder.

1, 2, 107, 214, 271, 542, 28997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57974 and 57994. The biggest common factor number is the GCF number.
So the greatest common factor 57974 and 57994 is 2.

Also check out the Least Common Multiple of 57974 and 57994