What is the Greatest Common Factor of 45800 and 45817?

Greatest common factor (GCF) of 45800 and 45817 is 1.

GCF(45800,45817) = 1

We will now calculate the prime factors of 45800 and 45817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45800 and 45817.

How to find the GCF of 45800 and 45817?

We will first find the prime factorization of 45800 and 45817. After we will calculate the factors of 45800 and 45817 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 45817

Prime factors of 45817 are 45817. Prime factorization of 45817 in exponential form is:

45817 = 45817¹

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 45817

List of positive integer factors of 45817 that divides 45800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45800 and 45817. The biggest common factor number is the GCF number.
So the greatest common factor 45800 and 45817 is 1.

Also check out the Least Common Multiple of 45800 and 45817