What is the Greatest Common Factor of 57140 and 57160?

Greatest common factor (GCF) of 57140 and 57160 is 20.

GCF(57140,57160) = 20

We will now calculate the prime factors of 57140 and 57160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57140 and 57160.

How to find the GCF of 57140 and 57160?

We will first find the prime factorization of 57140 and 57160. After we will calculate the factors of 57140 and 57160 and find the biggest common factor number .

Step-1: Prime Factorization of 57140

Prime factors of 57140 are 2, 5, 2857. Prime factorization of 57140 in exponential form is:

57140 = 2² × 5¹ × 2857¹

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 57140

List of positive integer factors of 57140 that divides 57140 without a remainder.

1, 2, 4, 5, 10, 20, 2857, 5714, 11428, 14285, 28570

Step-4: Factors of 57160

List of positive integer factors of 57160 that divides 57140 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 57140 and 57160. The biggest common factor number is the GCF number.
So the greatest common factor 57140 and 57160 is 20.

Also check out the Least Common Multiple of 57140 and 57160