What is the Greatest Common Factor of 56277 and 56289?

Greatest common factor (GCF) of 56277 and 56289 is 3.

GCF(56277,56289) = 3

We will now calculate the prime factors of 56277 and 56289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56277 and 56289.

How to find the GCF of 56277 and 56289?

We will first find the prime factorization of 56277 and 56289. After we will calculate the factors of 56277 and 56289 and find the biggest common factor number .

Step-1: Prime Factorization of 56277

Prime factors of 56277 are 3, 13, 37. Prime factorization of 56277 in exponential form is:

56277 = 3² × 13² × 37¹

Step-2: Prime Factorization of 56289

Prime factors of 56289 are 3, 29, 647. Prime factorization of 56289 in exponential form is:

56289 = 3¹ × 29¹ × 647¹

Step-3: Factors of 56277

List of positive integer factors of 56277 that divides 56277 without a remainder.

1, 3, 9, 13, 37, 39, 111, 117, 169, 333, 481, 507, 1443, 1521, 4329, 6253, 18759

Step-4: Factors of 56289

List of positive integer factors of 56289 that divides 56277 without a remainder.

1, 3, 29, 87, 647, 1941, 18763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56277 and 56289. The biggest common factor number is the GCF number.
So the greatest common factor 56277 and 56289 is 3.

Also check out the Least Common Multiple of 56277 and 56289