What is the Greatest Common Factor of 8653 and 8670?

Greatest common factor (GCF) of 8653 and 8670 is 17.

GCF(8653,8670) = 17

We will now calculate the prime factors of 8653 and 8670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8653 and 8670.

How to find the GCF of 8653 and 8670?

We will first find the prime factorization of 8653 and 8670. After we will calculate the factors of 8653 and 8670 and find the biggest common factor number .

Step-1: Prime Factorization of 8653

Prime factors of 8653 are 17, 509. Prime factorization of 8653 in exponential form is:

8653 = 17¹ × 509¹

Step-2: Prime Factorization of 8670

Prime factors of 8670 are 2, 3, 5, 17. Prime factorization of 8670 in exponential form is:

8670 = 2¹ × 3¹ × 5¹ × 17²

Step-3: Factors of 8653

List of positive integer factors of 8653 that divides 8653 without a remainder.

1, 17, 509

Step-4: Factors of 8670

List of positive integer factors of 8670 that divides 8653 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8653 and 8670. The biggest common factor number is the GCF number.
So the greatest common factor 8653 and 8670 is 17.

Also check out the Least Common Multiple of 8653 and 8670