What is the Greatest Common Factor of 56475 and 56480?

Greatest common factor (GCF) of 56475 and 56480 is 5.

GCF(56475,56480) = 5

We will now calculate the prime factors of 56475 and 56480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56475 and 56480.

How to find the GCF of 56475 and 56480?

We will first find the prime factorization of 56475 and 56480. After we will calculate the factors of 56475 and 56480 and find the biggest common factor number .

Step-1: Prime Factorization of 56475

Prime factors of 56475 are 3, 5, 251. Prime factorization of 56475 in exponential form is:

56475 = 3² × 5² × 251¹

Step-2: Prime Factorization of 56480

Prime factors of 56480 are 2, 5, 353. Prime factorization of 56480 in exponential form is:

56480 = 2⁵ × 5¹ × 353¹

Step-3: Factors of 56475

List of positive integer factors of 56475 that divides 56475 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 251, 753, 1255, 2259, 3765, 6275, 11295, 18825

Step-4: Factors of 56480

List of positive integer factors of 56480 that divides 56475 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 353, 706, 1412, 1765, 2824, 3530, 5648, 7060, 11296, 14120, 28240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56475 and 56480. The biggest common factor number is the GCF number.
So the greatest common factor 56475 and 56480 is 5.

Also check out the Least Common Multiple of 56475 and 56480