What is the Greatest Common Factor of 28900 and 28916?

Greatest common factor (GCF) of 28900 and 28916 is 4.

GCF(28900,28916) = 4

We will now calculate the prime factors of 28900 and 28916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28900 and 28916.

How to find the GCF of 28900 and 28916?

We will first find the prime factorization of 28900 and 28916. After we will calculate the factors of 28900 and 28916 and find the biggest common factor number .

Step-1: Prime Factorization of 28900

Prime factors of 28900 are 2, 5, 17. Prime factorization of 28900 in exponential form is:

28900 = 2² × 5² × 17²

Step-2: Prime Factorization of 28916

Prime factors of 28916 are 2, 7229. Prime factorization of 28916 in exponential form is:

28916 = 2² × 7229¹

Step-3: Factors of 28900

List of positive integer factors of 28900 that divides 28900 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 289, 340, 425, 578, 850, 1156, 1445, 1700, 2890, 5780, 7225, 14450

Step-4: Factors of 28916

List of positive integer factors of 28916 that divides 28900 without a remainder.

1, 2, 4, 7229, 14458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28900 and 28916. The biggest common factor number is the GCF number.
So the greatest common factor 28900 and 28916 is 4.

Also check out the Least Common Multiple of 28900 and 28916