What is the Greatest Common Factor of 56375 and 56387?

Greatest common factor (GCF) of 56375 and 56387 is 1.

GCF(56375,56387) = 1

We will now calculate the prime factors of 56375 and 56387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56375 and 56387.

How to find the GCF of 56375 and 56387?

We will first find the prime factorization of 56375 and 56387. After we will calculate the factors of 56375 and 56387 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 56387

Prime factors of 56387 are 113, 499. Prime factorization of 56387 in exponential form is:

56387 = 113¹ × 499¹

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 56387

List of positive integer factors of 56387 that divides 56375 without a remainder.

1, 113, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56375 and 56387. The biggest common factor number is the GCF number.
So the greatest common factor 56375 and 56387 is 1.

Also check out the Least Common Multiple of 56375 and 56387