What is the Greatest Common Factor of 56457 and 56463?

Greatest common factor (GCF) of 56457 and 56463 is 3.

GCF(56457,56463) = 3

We will now calculate the prime factors of 56457 and 56463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56457 and 56463.

How to find the GCF of 56457 and 56463?

We will first find the prime factorization of 56457 and 56463. After we will calculate the factors of 56457 and 56463 and find the biggest common factor number .

Step-1: Prime Factorization of 56457

Prime factors of 56457 are 3, 17, 41. Prime factorization of 56457 in exponential form is:

56457 = 3⁴ × 17¹ × 41¹

Step-2: 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-3: Factors of 56457

List of positive integer factors of 56457 that divides 56457 without a remainder.

1, 3, 9, 17, 27, 41, 51, 81, 123, 153, 369, 459, 697, 1107, 1377, 2091, 3321, 6273, 18819

Step-4: Factors of 56463

List of positive integer factors of 56463 that divides 56457 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56457 and 56463. The biggest common factor number is the GCF number.
So the greatest common factor 56457 and 56463 is 3.

Also check out the Least Common Multiple of 56457 and 56463