What is the Greatest Common Factor of 45200 and 45208?

Greatest common factor (GCF) of 45200 and 45208 is 8.

GCF(45200,45208) = 8

We will now calculate the prime factors of 45200 and 45208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45200 and 45208.

How to find the GCF of 45200 and 45208?

We will first find the prime factorization of 45200 and 45208. After we will calculate the factors of 45200 and 45208 and find the biggest common factor number .

Step-1: Prime Factorization of 45200

Prime factors of 45200 are 2, 5, 113. Prime factorization of 45200 in exponential form is:

45200 = 2⁴ × 5² × 113¹

Step-2: Prime Factorization of 45208

Prime factors of 45208 are 2, 5651. Prime factorization of 45208 in exponential form is:

45208 = 2³ × 5651¹

Step-3: Factors of 45200

List of positive integer factors of 45200 that divides 45200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 113, 200, 226, 400, 452, 565, 904, 1130, 1808, 2260, 2825, 4520, 5650, 9040, 11300, 22600

Step-4: Factors of 45208

List of positive integer factors of 45208 that divides 45200 without a remainder.

1, 2, 4, 8, 5651, 11302, 22604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45200 and 45208. The biggest common factor number is the GCF number.
So the greatest common factor 45200 and 45208 is 8.

Also check out the Least Common Multiple of 45200 and 45208