What is the Greatest Common Factor of 57948 and 57968?

Greatest common factor (GCF) of 57948 and 57968 is 4.

GCF(57948,57968) = 4

We will now calculate the prime factors of 57948 and 57968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57948 and 57968.

How to find the GCF of 57948 and 57968?

We will first find the prime factorization of 57948 and 57968. After we will calculate the factors of 57948 and 57968 and find the biggest common factor number .

Step-1: Prime Factorization of 57948

Prime factors of 57948 are 2, 3, 11, 439. Prime factorization of 57948 in exponential form is:

57948 = 2² × 3¹ × 11¹ × 439¹

Step-2: Prime Factorization of 57968

Prime factors of 57968 are 2, 3623. Prime factorization of 57968 in exponential form is:

57968 = 2⁴ × 3623¹

Step-3: Factors of 57948

List of positive integer factors of 57948 that divides 57948 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 439, 878, 1317, 1756, 2634, 4829, 5268, 9658, 14487, 19316, 28974

Step-4: Factors of 57968

List of positive integer factors of 57968 that divides 57948 without a remainder.

1, 2, 4, 8, 16, 3623, 7246, 14492, 28984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57948 and 57968. The biggest common factor number is the GCF number.
So the greatest common factor 57948 and 57968 is 4.

Also check out the Least Common Multiple of 57948 and 57968