What is the Greatest Common Factor of 8687 and 8704?

Greatest common factor (GCF) of 8687 and 8704 is 17.

GCF(8687,8704) = 17

We will now calculate the prime factors of 8687 and 8704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8687 and 8704.

How to find the GCF of 8687 and 8704?

We will first find the prime factorization of 8687 and 8704. After we will calculate the factors of 8687 and 8704 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 8704

Prime factors of 8704 are 2, 17. Prime factorization of 8704 in exponential form is:

8704 = 2⁹ × 17¹

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 8704

List of positive integer factors of 8704 that divides 8687 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8687 and 8704. The biggest common factor number is the GCF number.
So the greatest common factor 8687 and 8704 is 17.

Also check out the Least Common Multiple of 8687 and 8704