What is the Greatest Common Factor of 8640 and 8647?

Greatest common factor (GCF) of 8640 and 8647 is 1.

GCF(8640,8647) = 1

We will now calculate the prime factors of 8640 and 8647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8640 and 8647.

How to find the GCF of 8640 and 8647?

We will first find the prime factorization of 8640 and 8647. After we will calculate the factors of 8640 and 8647 and find the biggest common factor number .

Step-1: Prime Factorization of 8640

Prime factors of 8640 are 2, 3, 5. Prime factorization of 8640 in exponential form is:

8640 = 2⁶ × 3³ × 5¹

Step-2: Prime Factorization of 8647

Prime factors of 8647 are 8647. Prime factorization of 8647 in exponential form is:

8647 = 8647¹

Step-3: Factors of 8640

List of positive integer factors of 8640 that divides 8640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 192, 216, 240, 270, 288, 320, 360, 432, 480, 540, 576, 720, 864, 960, 1080, 1440, 1728, 2160, 2880, 4320

Step-4: Factors of 8647

List of positive integer factors of 8647 that divides 8640 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8640 and 8647. The biggest common factor number is the GCF number.
So the greatest common factor 8640 and 8647 is 1.

Also check out the Least Common Multiple of 8640 and 8647