What is the Greatest Common Factor of 56463 and 56478?

Greatest common factor (GCF) of 56463 and 56478 is 3.

GCF(56463,56478) = 3

We will now calculate the prime factors of 56463 and 56478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56463 and 56478.

How to find the GCF of 56463 and 56478?

We will first find the prime factorization of 56463 and 56478. After we will calculate the factors of 56463 and 56478 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 56478

Prime factors of 56478 are 2, 3, 9413. Prime factorization of 56478 in exponential form is:

56478 = 2¹ × 3¹ × 9413¹

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 56478

List of positive integer factors of 56478 that divides 56463 without a remainder.

1, 2, 3, 6, 9413, 18826, 28239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56463 and 56478. The biggest common factor number is the GCF number.
So the greatest common factor 56463 and 56478 is 3.

Also check out the Least Common Multiple of 56463 and 56478