What is the Greatest Common Factor of 8517 and 8526?

Greatest common factor (GCF) of 8517 and 8526 is 3.

GCF(8517,8526) = 3

We will now calculate the prime factors of 8517 and 8526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8517 and 8526.

How to find the GCF of 8517 and 8526?

We will first find the prime factorization of 8517 and 8526. After we will calculate the factors of 8517 and 8526 and find the biggest common factor number .

Step-1: Prime Factorization of 8517

Prime factors of 8517 are 3, 17, 167. Prime factorization of 8517 in exponential form is:

8517 = 3¹ × 17¹ × 167¹

Step-2: Prime Factorization of 8526

Prime factors of 8526 are 2, 3, 7, 29. Prime factorization of 8526 in exponential form is:

8526 = 2¹ × 3¹ × 7² × 29¹

Step-3: Factors of 8517

List of positive integer factors of 8517 that divides 8517 without a remainder.

1, 3, 17, 51, 167, 501, 2839

Step-4: Factors of 8526

List of positive integer factors of 8526 that divides 8517 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8517 and 8526. The biggest common factor number is the GCF number.
So the greatest common factor 8517 and 8526 is 3.

Also check out the Least Common Multiple of 8517 and 8526