What is the Greatest Common Factor of 57152 and 57160?

Greatest common factor (GCF) of 57152 and 57160 is 8.

GCF(57152,57160) = 8

We will now calculate the prime factors of 57152 and 57160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57152 and 57160.

How to find the GCF of 57152 and 57160?

We will first find the prime factorization of 57152 and 57160. After we will calculate the factors of 57152 and 57160 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57160

Prime factors of 57160 are 2, 5, 1429. Prime factorization of 57160 in exponential form is:

57160 = 2³ × 5¹ × 1429¹

Step-3: Factors of 57152

List of positive integer factors of 57152 that divides 57152 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

Step-4: Factors of 57160

List of positive integer factors of 57160 that divides 57152 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1429, 2858, 5716, 7145, 11432, 14290, 28580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57152 and 57160. The biggest common factor number is the GCF number.
So the greatest common factor 57152 and 57160 is 8.

Also check out the Least Common Multiple of 57152 and 57160