What is the Greatest Common Factor of 56307 and 56325?

Greatest common factor (GCF) of 56307 and 56325 is 3.

GCF(56307,56325) = 3

We will now calculate the prime factors of 56307 and 56325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56307 and 56325.

How to find the GCF of 56307 and 56325?

We will first find the prime factorization of 56307 and 56325. After we will calculate the factors of 56307 and 56325 and find the biggest common factor number .

Step-1: Prime Factorization of 56307

Prime factors of 56307 are 3, 137. Prime factorization of 56307 in exponential form is:

56307 = 3¹ × 137²

Step-2: Prime Factorization of 56325

Prime factors of 56325 are 3, 5, 751. Prime factorization of 56325 in exponential form is:

56325 = 3¹ × 5² × 751¹

Step-3: Factors of 56307

List of positive integer factors of 56307 that divides 56307 without a remainder.

1, 3, 137, 411, 18769

Step-4: Factors of 56325

List of positive integer factors of 56325 that divides 56307 without a remainder.

1, 3, 5, 15, 25, 75, 751, 2253, 3755, 11265, 18775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56307 and 56325. The biggest common factor number is the GCF number.
So the greatest common factor 56307 and 56325 is 3.

Also check out the Least Common Multiple of 56307 and 56325