What is the Greatest Common Factor of 8687 and 8701?

Greatest common factor (GCF) of 8687 and 8701 is 7.

GCF(8687,8701) = 7

We will now calculate the prime factors of 8687 and 8701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8687 and 8701.

How to find the GCF of 8687 and 8701?

We will first find the prime factorization of 8687 and 8701. After we will calculate the factors of 8687 and 8701 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8701

Prime factors of 8701 are 7, 11, 113. Prime factorization of 8701 in exponential form is:

8701 = 7¹ × 11¹ × 113¹

Step-3: Factors of 8687

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

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

Step-4: Factors of 8701

List of positive integer factors of 8701 that divides 8687 without a remainder.

1, 7, 11, 77, 113, 791, 1243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8687 and 8701. The biggest common factor number is the GCF number.
So the greatest common factor 8687 and 8701 is 7.

Also check out the Least Common Multiple of 8687 and 8701