What is the Greatest Common Factor of 57164 and 57168?

Greatest common factor (GCF) of 57164 and 57168 is 4.

GCF(57164,57168) = 4

We will now calculate the prime factors of 57164 and 57168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57164 and 57168.

How to find the GCF of 57164 and 57168?

We will first find the prime factorization of 57164 and 57168. After we will calculate the factors of 57164 and 57168 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 57168

Prime factors of 57168 are 2, 3, 397. Prime factorization of 57168 in exponential form is:

57168 = 2⁴ × 3² × 397¹

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 57168

List of positive integer factors of 57168 that divides 57164 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 397, 794, 1191, 1588, 2382, 3176, 3573, 4764, 6352, 7146, 9528, 14292, 19056, 28584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57164 and 57168. The biggest common factor number is the GCF number.
So the greatest common factor 57164 and 57168 is 4.

Also check out the Least Common Multiple of 57164 and 57168