What is the Greatest Common Factor of 56475 and 56490?

Greatest common factor (GCF) of 56475 and 56490 is 15.

GCF(56475,56490) = 15

We will now calculate the prime factors of 56475 and 56490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56475 and 56490.

How to find the GCF of 56475 and 56490?

We will first find the prime factorization of 56475 and 56490. After we will calculate the factors of 56475 and 56490 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 56490

Prime factors of 56490 are 2, 3, 5, 7, 269. Prime factorization of 56490 in exponential form is:

56490 = 2¹ × 3¹ × 5¹ × 7¹ × 269¹

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 56490

List of positive integer factors of 56490 that divides 56475 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 269, 538, 807, 1345, 1614, 1883, 2690, 3766, 4035, 5649, 8070, 9415, 11298, 18830, 28245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56475 and 56490. The biggest common factor number is the GCF number.
So the greatest common factor 56475 and 56490 is 15.

Also check out the Least Common Multiple of 56475 and 56490