What is the Greatest Common Factor of 45796 and 45800?

Greatest common factor (GCF) of 45796 and 45800 is 4.

GCF(45796,45800) = 4

We will now calculate the prime factors of 45796 and 45800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45796 and 45800.

How to find the GCF of 45796 and 45800?

We will first find the prime factorization of 45796 and 45800. After we will calculate the factors of 45796 and 45800 and find the biggest common factor number .

Step-1: Prime Factorization of 45796

Prime factors of 45796 are 2, 107. Prime factorization of 45796 in exponential form is:

45796 = 2² × 107²

Step-2: 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-3: Factors of 45796

List of positive integer factors of 45796 that divides 45796 without a remainder.

1, 2, 4, 107, 214, 428, 11449, 22898

Step-4: Factors of 45800

List of positive integer factors of 45800 that divides 45796 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45796 and 45800. The biggest common factor number is the GCF number.
So the greatest common factor 45796 and 45800 is 4.

Also check out the Least Common Multiple of 45796 and 45800