What is the Greatest Common Factor of 8640 and 8653?

Greatest common factor (GCF) of 8640 and 8653 is 1.

GCF(8640,8653) = 1

We will now calculate the prime factors of 8640 and 8653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8640 and 8653.

How to find the GCF of 8640 and 8653?

We will first find the prime factorization of 8640 and 8653. After we will calculate the factors of 8640 and 8653 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 8653

Prime factors of 8653 are 17, 509. Prime factorization of 8653 in exponential form is:

8653 = 17¹ × 509¹

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 8653

List of positive integer factors of 8653 that divides 8640 without a remainder.

1, 17, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8640 and 8653. The biggest common factor number is the GCF number.
So the greatest common factor 8640 and 8653 is 1.

Also check out the Least Common Multiple of 8640 and 8653