What is the Greatest Common Factor of 57135 and 57148?

Greatest common factor (GCF) of 57135 and 57148 is 13.

GCF(57135,57148) = 13

We will now calculate the prime factors of 57135 and 57148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57135 and 57148.

How to find the GCF of 57135 and 57148?

We will first find the prime factorization of 57135 and 57148. After we will calculate the factors of 57135 and 57148 and find the biggest common factor number .

Step-1: Prime Factorization of 57135

Prime factors of 57135 are 3, 5, 13, 293. Prime factorization of 57135 in exponential form is:

57135 = 3¹ × 5¹ × 13¹ × 293¹

Step-2: 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-3: Factors of 57135

List of positive integer factors of 57135 that divides 57135 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 293, 879, 1465, 3809, 4395, 11427, 19045

Step-4: Factors of 57148

List of positive integer factors of 57148 that divides 57135 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57135 and 57148. The biggest common factor number is the GCF number.
So the greatest common factor 57135 and 57148 is 13.

Also check out the Least Common Multiple of 57135 and 57148