What is the Greatest Common Factor of 45792 and 45800?

Greatest common factor (GCF) of 45792 and 45800 is 8.

GCF(45792,45800) = 8

We will now calculate the prime factors of 45792 and 45800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45792 and 45800.

How to find the GCF of 45792 and 45800?

We will first find the prime factorization of 45792 and 45800. After we will calculate the factors of 45792 and 45800 and find the biggest common factor number .

Step-1: Prime Factorization of 45792

Prime factors of 45792 are 2, 3, 53. Prime factorization of 45792 in exponential form is:

45792 = 2⁵ × 3³ × 53¹

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 45792

List of positive integer factors of 45792 that divides 45792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 53, 54, 72, 96, 106, 108, 144, 159, 212, 216, 288, 318, 424, 432, 477, 636, 848, 864, 954, 1272, 1431, 1696, 1908, 2544, 2862, 3816, 5088, 5724, 7632, 11448, 15264, 22896

Step-4: Factors of 45800

List of positive integer factors of 45800 that divides 45792 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 45792 and 45800. The biggest common factor number is the GCF number.
So the greatest common factor 45792 and 45800 is 8.

Also check out the Least Common Multiple of 45792 and 45800