What is the Greatest Common Factor of 8602 and 8613?

Greatest common factor (GCF) of 8602 and 8613 is 11.

GCF(8602,8613) = 11

We will now calculate the prime factors of 8602 and 8613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8602 and 8613.

How to find the GCF of 8602 and 8613?

We will first find the prime factorization of 8602 and 8613. After we will calculate the factors of 8602 and 8613 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 8613

Prime factors of 8613 are 3, 11, 29. Prime factorization of 8613 in exponential form is:

8613 = 3³ × 11¹ × 29¹

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 8613

List of positive integer factors of 8613 that divides 8602 without a remainder.

1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8602 and 8613. The biggest common factor number is the GCF number.
So the greatest common factor 8602 and 8613 is 11.

Also check out the Least Common Multiple of 8602 and 8613