What is the Greatest Common Factor of 56375 and 56380?

Greatest common factor (GCF) of 56375 and 56380 is 5.

GCF(56375,56380) = 5

We will now calculate the prime factors of 56375 and 56380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56375 and 56380.

How to find the GCF of 56375 and 56380?

We will first find the prime factorization of 56375 and 56380. After we will calculate the factors of 56375 and 56380 and find the biggest common factor number .

Step-1: Prime Factorization of 56375

Prime factors of 56375 are 5, 11, 41. Prime factorization of 56375 in exponential form is:

56375 = 5³ × 11¹ × 41¹

Step-2: Prime Factorization of 56380

Prime factors of 56380 are 2, 5, 2819. Prime factorization of 56380 in exponential form is:

56380 = 2² × 5¹ × 2819¹

Step-3: Factors of 56375

List of positive integer factors of 56375 that divides 56375 without a remainder.

1, 5, 11, 25, 41, 55, 125, 205, 275, 451, 1025, 1375, 2255, 5125, 11275

Step-4: Factors of 56380

List of positive integer factors of 56380 that divides 56375 without a remainder.

1, 2, 4, 5, 10, 20, 2819, 5638, 11276, 14095, 28190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56375 and 56380. The biggest common factor number is the GCF number.
So the greatest common factor 56375 and 56380 is 5.

Also check out the Least Common Multiple of 56375 and 56380