What is the Greatest Common Factor of 8673 and 8687?

Greatest common factor (GCF) of 8673 and 8687 is 7.

GCF(8673,8687) = 7

We will now calculate the prime factors of 8673 and 8687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8673 and 8687.

How to find the GCF of 8673 and 8687?

We will first find the prime factorization of 8673 and 8687. After we will calculate the factors of 8673 and 8687 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 8687

Prime factors of 8687 are 7, 17, 73. Prime factorization of 8687 in exponential form is:

8687 = 7¹ × 17¹ × 73¹

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 8687

List of positive integer factors of 8687 that divides 8673 without a remainder.

1, 7, 17, 73, 119, 511, 1241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8673 and 8687. The biggest common factor number is the GCF number.
So the greatest common factor 8673 and 8687 is 7.

Also check out the Least Common Multiple of 8673 and 8687