What is the Greatest Common Factor of 56589 and 56604?

Greatest common factor (GCF) of 56589 and 56604 is 3.

GCF(56589,56604) = 3

We will now calculate the prime factors of 56589 and 56604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56589 and 56604.

How to find the GCF of 56589 and 56604?

We will first find the prime factorization of 56589 and 56604. After we will calculate the factors of 56589 and 56604 and find the biggest common factor number .

Step-1: Prime Factorization of 56589

Prime factors of 56589 are 3, 13, 1451. Prime factorization of 56589 in exponential form is:

56589 = 3¹ × 13¹ × 1451¹

Step-2: Prime Factorization of 56604

Prime factors of 56604 are 2, 3, 53, 89. Prime factorization of 56604 in exponential form is:

56604 = 2² × 3¹ × 53¹ × 89¹

Step-3: Factors of 56589

List of positive integer factors of 56589 that divides 56589 without a remainder.

1, 3, 13, 39, 1451, 4353, 18863

Step-4: Factors of 56604

List of positive integer factors of 56604 that divides 56589 without a remainder.

1, 2, 3, 4, 6, 12, 53, 89, 106, 159, 178, 212, 267, 318, 356, 534, 636, 1068, 4717, 9434, 14151, 18868, 28302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56589 and 56604. The biggest common factor number is the GCF number.
So the greatest common factor 56589 and 56604 is 3.

Also check out the Least Common Multiple of 56589 and 56604