What is the Greatest Common Factor of 56265 and 56277?

Greatest common factor (GCF) of 56265 and 56277 is 3.

GCF(56265,56277) = 3

We will now calculate the prime factors of 56265 and 56277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56265 and 56277.

How to find the GCF of 56265 and 56277?

We will first find the prime factorization of 56265 and 56277. After we will calculate the factors of 56265 and 56277 and find the biggest common factor number .

Step-1: Prime Factorization of 56265

Prime factors of 56265 are 3, 5, 11, 31. Prime factorization of 56265 in exponential form is:

56265 = 3¹ × 5¹ × 11² × 31¹

Step-2: 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-3: Factors of 56265

List of positive integer factors of 56265 that divides 56265 without a remainder.

1, 3, 5, 11, 15, 31, 33, 55, 93, 121, 155, 165, 341, 363, 465, 605, 1023, 1705, 1815, 3751, 5115, 11253, 18755

Step-4: Factors of 56277

List of positive integer factors of 56277 that divides 56265 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56265 and 56277. The biggest common factor number is the GCF number.
So the greatest common factor 56265 and 56277 is 3.

Also check out the Least Common Multiple of 56265 and 56277