What is the Greatest Common Factor of 56295 and 56310?

Greatest common factor (GCF) of 56295 and 56310 is 15.

GCF(56295,56310) = 15

We will now calculate the prime factors of 56295 and 56310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56295 and 56310.

How to find the GCF of 56295 and 56310?

We will first find the prime factorization of 56295 and 56310. After we will calculate the factors of 56295 and 56310 and find the biggest common factor number .

Step-1: Prime Factorization of 56295

Prime factors of 56295 are 3, 5, 139. Prime factorization of 56295 in exponential form is:

56295 = 3⁴ × 5¹ × 139¹

Step-2: Prime Factorization of 56310

Prime factors of 56310 are 2, 3, 5, 1877. Prime factorization of 56310 in exponential form is:

56310 = 2¹ × 3¹ × 5¹ × 1877¹

Step-3: Factors of 56295

List of positive integer factors of 56295 that divides 56295 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 139, 405, 417, 695, 1251, 2085, 3753, 6255, 11259, 18765

Step-4: Factors of 56310

List of positive integer factors of 56310 that divides 56295 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1877, 3754, 5631, 9385, 11262, 18770, 28155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56295 and 56310. The biggest common factor number is the GCF number.
So the greatest common factor 56295 and 56310 is 15.

Also check out the Least Common Multiple of 56295 and 56310