What is the Greatest Common Factor of 56463 and 56475?

Greatest common factor (GCF) of 56463 and 56475 is 3.

GCF(56463,56475) = 3

We will now calculate the prime factors of 56463 and 56475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56463 and 56475.

How to find the GCF of 56463 and 56475?

We will first find the prime factorization of 56463 and 56475. After we will calculate the factors of 56463 and 56475 and find the biggest common factor number .

Step-1: Prime Factorization of 56463

Prime factors of 56463 are 3, 11, 29, 59. Prime factorization of 56463 in exponential form is:

56463 = 3¹ × 11¹ × 29¹ × 59¹

Step-2: 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-3: Factors of 56463

List of positive integer factors of 56463 that divides 56463 without a remainder.

1, 3, 11, 29, 33, 59, 87, 177, 319, 649, 957, 1711, 1947, 5133, 18821

Step-4: Factors of 56475

List of positive integer factors of 56475 that divides 56463 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56463 and 56475. The biggest common factor number is the GCF number.
So the greatest common factor 56463 and 56475 is 3.

Also check out the Least Common Multiple of 56463 and 56475