What is the Greatest Common Factor of 8602 and 8617?

Greatest common factor (GCF) of 8602 and 8617 is 1.

GCF(8602,8617) = 1

We will now calculate the prime factors of 8602 and 8617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8602 and 8617.

How to find the GCF of 8602 and 8617?

We will first find the prime factorization of 8602 and 8617. After we will calculate the factors of 8602 and 8617 and find the biggest common factor number .

Step-1: Prime Factorization of 8602

Prime factors of 8602 are 2, 11, 17, 23. Prime factorization of 8602 in exponential form is:

8602 = 2¹ × 11¹ × 17¹ × 23¹

Step-2: Prime Factorization of 8617

Prime factors of 8617 are 7, 1231. Prime factorization of 8617 in exponential form is:

8617 = 7¹ × 1231¹

Step-3: Factors of 8602

List of positive integer factors of 8602 that divides 8602 without a remainder.

1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301

Step-4: Factors of 8617

List of positive integer factors of 8617 that divides 8602 without a remainder.

1, 7, 1231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8602 and 8617. The biggest common factor number is the GCF number.
So the greatest common factor 8602 and 8617 is 1.

Also check out the Least Common Multiple of 8602 and 8617