What is the Greatest Common Factor of 56355 and 56375?

Greatest common factor (GCF) of 56355 and 56375 is 5.

GCF(56355,56375) = 5

We will now calculate the prime factors of 56355 and 56375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56355 and 56375.

How to find the GCF of 56355 and 56375?

We will first find the prime factorization of 56355 and 56375. After we will calculate the factors of 56355 and 56375 and find the biggest common factor number .

Step-1: Prime Factorization of 56355

Prime factors of 56355 are 3, 5, 13, 17. Prime factorization of 56355 in exponential form is:

56355 = 3¹ × 5¹ × 13¹ × 17²

Step-2: 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-3: Factors of 56355

List of positive integer factors of 56355 that divides 56355 without a remainder.

1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 289, 663, 867, 1105, 1445, 3315, 3757, 4335, 11271, 18785

Step-4: Factors of 56375

List of positive integer factors of 56375 that divides 56355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56355 and 56375. The biggest common factor number is the GCF number.
So the greatest common factor 56355 and 56375 is 5.

Also check out the Least Common Multiple of 56355 and 56375