What is the Greatest Common Factor of 57148 and 57164?

Greatest common factor (GCF) of 57148 and 57164 is 4.

GCF(57148,57164) = 4

We will now calculate the prime factors of 57148 and 57164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57148 and 57164.

How to find the GCF of 57148 and 57164?

We will first find the prime factorization of 57148 and 57164. After we will calculate the factors of 57148 and 57164 and find the biggest common factor number .

Step-1: Prime Factorization of 57148

Prime factors of 57148 are 2, 7, 13, 157. Prime factorization of 57148 in exponential form is:

57148 = 2² × 7¹ × 13¹ × 157¹

Step-2: 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-3: Factors of 57148

List of positive integer factors of 57148 that divides 57148 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 157, 182, 314, 364, 628, 1099, 2041, 2198, 4082, 4396, 8164, 14287, 28574

Step-4: Factors of 57164

List of positive integer factors of 57164 that divides 57148 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57148 and 57164. The biggest common factor number is the GCF number.
So the greatest common factor 57148 and 57164 is 4.

Also check out the Least Common Multiple of 57148 and 57164