What is the Greatest Common Factor of 28904 and 28917?

Greatest common factor (GCF) of 28904 and 28917 is 1.

GCF(28904,28917) = 1

We will now calculate the prime factors of 28904 and 28917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28904 and 28917.

How to find the GCF of 28904 and 28917?

We will first find the prime factorization of 28904 and 28917. After we will calculate the factors of 28904 and 28917 and find the biggest common factor number .

Step-1: Prime Factorization of 28904

Prime factors of 28904 are 2, 3613. Prime factorization of 28904 in exponential form is:

28904 = 2³ × 3613¹

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 28904

List of positive integer factors of 28904 that divides 28904 without a remainder.

1, 2, 4, 8, 3613, 7226, 14452

Step-4: Factors of 28917

List of positive integer factors of 28917 that divides 28904 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 28904 and 28917. The biggest common factor number is the GCF number.
So the greatest common factor 28904 and 28917 is 1.

Also check out the Least Common Multiple of 28904 and 28917