What is the Greatest Common Factor of 8673 and 8682?

Greatest common factor (GCF) of 8673 and 8682 is 3.

GCF(8673,8682) = 3

We will now calculate the prime factors of 8673 and 8682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8673 and 8682.

How to find the GCF of 8673 and 8682?

We will first find the prime factorization of 8673 and 8682. After we will calculate the factors of 8673 and 8682 and find the biggest common factor number .

Step-1: Prime Factorization of 8673

Prime factors of 8673 are 3, 7, 59. Prime factorization of 8673 in exponential form is:

8673 = 3¹ × 7² × 59¹

Step-2: Prime Factorization of 8682

Prime factors of 8682 are 2, 3, 1447. Prime factorization of 8682 in exponential form is:

8682 = 2¹ × 3¹ × 1447¹

Step-3: Factors of 8673

List of positive integer factors of 8673 that divides 8673 without a remainder.

1, 3, 7, 21, 49, 59, 147, 177, 413, 1239, 2891

Step-4: Factors of 8682

List of positive integer factors of 8682 that divides 8673 without a remainder.

1, 2, 3, 6, 1447, 2894, 4341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8673 and 8682. The biggest common factor number is the GCF number.
So the greatest common factor 8673 and 8682 is 3.

Also check out the Least Common Multiple of 8673 and 8682