What is the Greatest Common Factor of 28883 and 28900?

Greatest common factor (GCF) of 28883 and 28900 is 17.

GCF(28883,28900) = 17

We will now calculate the prime factors of 28883 and 28900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28883 and 28900.

How to find the GCF of 28883 and 28900?

We will first find the prime factorization of 28883 and 28900. After we will calculate the factors of 28883 and 28900 and find the biggest common factor number .

Step-1: Prime Factorization of 28883

Prime factors of 28883 are 17, 1699. Prime factorization of 28883 in exponential form is:

28883 = 17¹ × 1699¹

Step-2: 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-3: Factors of 28883

List of positive integer factors of 28883 that divides 28883 without a remainder.

1, 17, 1699

Step-4: Factors of 28900

List of positive integer factors of 28900 that divides 28883 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28883 and 28900. The biggest common factor number is the GCF number.
So the greatest common factor 28883 and 28900 is 17.

Also check out the Least Common Multiple of 28883 and 28900