What is the Greatest Common Factor of 45800 and 45815?

Greatest common factor (GCF) of 45800 and 45815 is 5.

GCF(45800,45815) = 5

We will now calculate the prime factors of 45800 and 45815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45800 and 45815.

How to find the GCF of 45800 and 45815?

We will first find the prime factorization of 45800 and 45815. After we will calculate the factors of 45800 and 45815 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 45815

Prime factors of 45815 are 5, 7, 11, 17. Prime factorization of 45815 in exponential form is:

45815 = 5¹ × 7² × 11¹ × 17¹

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 45815

List of positive integer factors of 45815 that divides 45800 without a remainder.

1, 5, 7, 11, 17, 35, 49, 55, 77, 85, 119, 187, 245, 385, 539, 595, 833, 935, 1309, 2695, 4165, 6545, 9163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45800 and 45815. The biggest common factor number is the GCF number.
So the greatest common factor 45800 and 45815 is 5.

Also check out the Least Common Multiple of 45800 and 45815