What is the Greatest Common Factor of 57944 and 57964?

Greatest common factor (GCF) of 57944 and 57964 is 4.

GCF(57944,57964) = 4

We will now calculate the prime factors of 57944 and 57964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57944 and 57964.

How to find the GCF of 57944 and 57964?

We will first find the prime factorization of 57944 and 57964. After we will calculate the factors of 57944 and 57964 and find the biggest common factor number .

Step-1: Prime Factorization of 57944

Prime factors of 57944 are 2, 7243. Prime factorization of 57944 in exponential form is:

57944 = 2³ × 7243¹

Step-2: Prime Factorization of 57964

Prime factors of 57964 are 2, 43, 337. Prime factorization of 57964 in exponential form is:

57964 = 2² × 43¹ × 337¹

Step-3: Factors of 57944

List of positive integer factors of 57944 that divides 57944 without a remainder.

1, 2, 4, 8, 7243, 14486, 28972

Step-4: Factors of 57964

List of positive integer factors of 57964 that divides 57944 without a remainder.

1, 2, 4, 43, 86, 172, 337, 674, 1348, 14491, 28982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57944 and 57964. The biggest common factor number is the GCF number.
So the greatest common factor 57944 and 57964 is 4.

Also check out the Least Common Multiple of 57944 and 57964