What is the Greatest Common Factor of 45800 and 45807?

Greatest common factor (GCF) of 45800 and 45807 is 1.

GCF(45800,45807) = 1

We will now calculate the prime factors of 45800 and 45807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45800 and 45807.

How to find the GCF of 45800 and 45807?

We will first find the prime factorization of 45800 and 45807. After we will calculate the factors of 45800 and 45807 and find the biggest common factor number .

Step-1: Prime Factorization of 45800

Prime factors of 45800 are 2, 5, 229. Prime factorization of 45800 in exponential form is:

45800 = 2³ × 5² × 229¹

Step-2: Prime Factorization of 45807

Prime factors of 45807 are 3, 15269. Prime factorization of 45807 in exponential form is:

45807 = 3¹ × 15269¹

Step-3: Factors of 45800

List of positive integer factors of 45800 that divides 45800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 229, 458, 916, 1145, 1832, 2290, 4580, 5725, 9160, 11450, 22900

Step-4: Factors of 45807

List of positive integer factors of 45807 that divides 45800 without a remainder.

1, 3, 15269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45800 and 45807. The biggest common factor number is the GCF number.
So the greatest common factor 45800 and 45807 is 1.

Also check out the Least Common Multiple of 45800 and 45807