What is the Greatest Common Factor of 28917 and 28926?

Greatest common factor (GCF) of 28917 and 28926 is 9.

GCF(28917,28926) = 9

We will now calculate the prime factors of 28917 and 28926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28917 and 28926.

How to find the GCF of 28917 and 28926?

We will first find the prime factorization of 28917 and 28926. After we will calculate the factors of 28917 and 28926 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28926

Prime factors of 28926 are 2, 3, 1607. Prime factorization of 28926 in exponential form is:

28926 = 2¹ × 3² × 1607¹

Step-3: Factors of 28917

List of positive integer factors of 28917 that divides 28917 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

Step-4: Factors of 28926

List of positive integer factors of 28926 that divides 28917 without a remainder.

1, 2, 3, 6, 9, 18, 1607, 3214, 4821, 9642, 14463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28917 and 28926. The biggest common factor number is the GCF number.
So the greatest common factor 28917 and 28926 is 9.

Also check out the Least Common Multiple of 28917 and 28926