What is the Greatest Common Factor of 57928 and 57938?

Greatest common factor (GCF) of 57928 and 57938 is 2.

GCF(57928,57938) = 2

We will now calculate the prime factors of 57928 and 57938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57928 and 57938.

How to find the GCF of 57928 and 57938?

We will first find the prime factorization of 57928 and 57938. After we will calculate the factors of 57928 and 57938 and find the biggest common factor number .

Step-1: Prime Factorization of 57928

Prime factors of 57928 are 2, 13, 557. Prime factorization of 57928 in exponential form is:

57928 = 2³ × 13¹ × 557¹

Step-2: Prime Factorization of 57938

Prime factors of 57938 are 2, 59, 491. Prime factorization of 57938 in exponential form is:

57938 = 2¹ × 59¹ × 491¹

Step-3: Factors of 57928

List of positive integer factors of 57928 that divides 57928 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 557, 1114, 2228, 4456, 7241, 14482, 28964

Step-4: Factors of 57938

List of positive integer factors of 57938 that divides 57928 without a remainder.

1, 2, 59, 118, 491, 982, 28969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57928 and 57938. The biggest common factor number is the GCF number.
So the greatest common factor 57928 and 57938 is 2.

Also check out the Least Common Multiple of 57928 and 57938