What is the Greatest Common Factor of 8501 and 8517?

Greatest common factor (GCF) of 8501 and 8517 is 1.

GCF(8501,8517) = 1

We will now calculate the prime factors of 8501 and 8517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8501 and 8517.

How to find the GCF of 8501 and 8517?

We will first find the prime factorization of 8501 and 8517. After we will calculate the factors of 8501 and 8517 and find the biggest common factor number .

Step-1: Prime Factorization of 8501

Prime factors of 8501 are 8501. Prime factorization of 8501 in exponential form is:

8501 = 8501¹

Step-2: 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-3: Factors of 8501

List of positive integer factors of 8501 that divides 8501 without a remainder.

Step-4: Factors of 8517

List of positive integer factors of 8517 that divides 8501 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8501 and 8517. The biggest common factor number is the GCF number.
So the greatest common factor 8501 and 8517 is 1.

Also check out the Least Common Multiple of 8501 and 8517