What is the Greatest Common Factor of 8704 and 8721?

Greatest common factor (GCF) of 8704 and 8721 is 17.

GCF(8704,8721) = 17

We will now calculate the prime factors of 8704 and 8721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8704 and 8721.

How to find the GCF of 8704 and 8721?

We will first find the prime factorization of 8704 and 8721. After we will calculate the factors of 8704 and 8721 and find the biggest common factor number .

Step-1: Prime Factorization of 8704

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

8704 = 2⁹ × 17¹

Step-2: Prime Factorization of 8721

Prime factors of 8721 are 3, 17, 19. Prime factorization of 8721 in exponential form is:

8721 = 3³ × 17¹ × 19¹

Step-3: Factors of 8704

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

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

Step-4: Factors of 8721

List of positive integer factors of 8721 that divides 8704 without a remainder.

1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8704 and 8721. The biggest common factor number is the GCF number.
So the greatest common factor 8704 and 8721 is 17.

Also check out the Least Common Multiple of 8704 and 8721