What is the Greatest Common Factor of 57164 and 57176?

Greatest common factor (GCF) of 57164 and 57176 is 4.

GCF(57164,57176) = 4

We will now calculate the prime factors of 57164 and 57176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57164 and 57176.

How to find the GCF of 57164 and 57176?

We will first find the prime factorization of 57164 and 57176. After we will calculate the factors of 57164 and 57176 and find the biggest common factor number .

Step-1: Prime Factorization of 57164

Prime factors of 57164 are 2, 31, 461. Prime factorization of 57164 in exponential form is:

57164 = 2² × 31¹ × 461¹

Step-2: Prime Factorization of 57176

Prime factors of 57176 are 2, 7, 1021. Prime factorization of 57176 in exponential form is:

57176 = 2³ × 7¹ × 1021¹

Step-3: Factors of 57164

List of positive integer factors of 57164 that divides 57164 without a remainder.

1, 2, 4, 31, 62, 124, 461, 922, 1844, 14291, 28582

Step-4: Factors of 57176

List of positive integer factors of 57176 that divides 57164 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1021, 2042, 4084, 7147, 8168, 14294, 28588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57164 and 57176. The biggest common factor number is the GCF number.
So the greatest common factor 57164 and 57176 is 4.

Also check out the Least Common Multiple of 57164 and 57176