What is the Greatest Common Factor of 57148 and 57152?

Greatest common factor (GCF) of 57148 and 57152 is 4.

GCF(57148,57152) = 4

We will now calculate the prime factors of 57148 and 57152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57148 and 57152.

How to find the GCF of 57148 and 57152?

We will first find the prime factorization of 57148 and 57152. After we will calculate the factors of 57148 and 57152 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 57152

Prime factors of 57152 are 2, 19, 47. Prime factorization of 57152 in exponential form is:

57152 = 2⁶ × 19¹ × 47¹

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 57152

List of positive integer factors of 57152 that divides 57148 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 47, 64, 76, 94, 152, 188, 304, 376, 608, 752, 893, 1216, 1504, 1786, 3008, 3572, 7144, 14288, 28576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57148 and 57152. The biggest common factor number is the GCF number.
So the greatest common factor 57148 and 57152 is 4.

Also check out the Least Common Multiple of 57148 and 57152