What is the Greatest Common Factor of 56275 and 56295?

Greatest common factor (GCF) of 56275 and 56295 is 5.

GCF(56275,56295) = 5

We will now calculate the prime factors of 56275 and 56295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56275 and 56295.

How to find the GCF of 56275 and 56295?

We will first find the prime factorization of 56275 and 56295. After we will calculate the factors of 56275 and 56295 and find the biggest common factor number .

Step-1: Prime Factorization of 56275

Prime factors of 56275 are 5, 2251. Prime factorization of 56275 in exponential form is:

56275 = 5² × 2251¹

Step-2: 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-3: Factors of 56275

List of positive integer factors of 56275 that divides 56275 without a remainder.

1, 5, 25, 2251, 11255

Step-4: Factors of 56295

List of positive integer factors of 56295 that divides 56275 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56275 and 56295. The biggest common factor number is the GCF number.
So the greatest common factor 56275 and 56295 is 5.

Also check out the Least Common Multiple of 56275 and 56295