What is the Greatest Common Factor of 28900 and 28917?

Greatest common factor (GCF) of 28900 and 28917 is 17.

GCF(28900,28917) = 17

We will now calculate the prime factors of 28900 and 28917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28900 and 28917.

How to find the GCF of 28900 and 28917?

We will first find the prime factorization of 28900 and 28917. After we will calculate the factors of 28900 and 28917 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 28917

Prime factors of 28917 are 3, 7, 17. Prime factorization of 28917 in exponential form is:

28917 = 3⁵ × 7¹ × 17¹

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 28917

List of positive integer factors of 28917 that divides 28900 without a remainder.

1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 243, 357, 459, 567, 1071, 1377, 1701, 3213, 4131, 9639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28900 and 28917. The biggest common factor number is the GCF number.
So the greatest common factor 28900 and 28917 is 17.

Also check out the Least Common Multiple of 28900 and 28917