What is the Greatest Common Factor of 8654 and 8670?

Greatest common factor (GCF) of 8654 and 8670 is 2.

GCF(8654,8670) = 2

We will now calculate the prime factors of 8654 and 8670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8654 and 8670.

How to find the GCF of 8654 and 8670?

We will first find the prime factorization of 8654 and 8670. After we will calculate the factors of 8654 and 8670 and find the biggest common factor number .

Step-1: Prime Factorization of 8654

Prime factors of 8654 are 2, 4327. Prime factorization of 8654 in exponential form is:

8654 = 2¹ × 4327¹

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 8654

List of positive integer factors of 8654 that divides 8654 without a remainder.

1, 2, 4327

Step-4: Factors of 8670

List of positive integer factors of 8670 that divides 8654 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 8654 and 8670. The biggest common factor number is the GCF number.
So the greatest common factor 8654 and 8670 is 2.

Also check out the Least Common Multiple of 8654 and 8670