What is the Greatest Common Factor of 8640 and 8651?

Greatest common factor (GCF) of 8640 and 8651 is 1.

GCF(8640,8651) = 1

We will now calculate the prime factors of 8640 and 8651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8640 and 8651.

How to find the GCF of 8640 and 8651?

We will first find the prime factorization of 8640 and 8651. After we will calculate the factors of 8640 and 8651 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 8651

Prime factors of 8651 are 41, 211. Prime factorization of 8651 in exponential form is:

8651 = 41¹ × 211¹

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 8651

List of positive integer factors of 8651 that divides 8640 without a remainder.

1, 41, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8640 and 8651. The biggest common factor number is the GCF number.
So the greatest common factor 8640 and 8651 is 1.

Also check out the Least Common Multiple of 8640 and 8651