What is the Greatest Common Factor of 8640 and 8652?

Greatest common factor (GCF) of 8640 and 8652 is 12.

GCF(8640,8652) = 12

We will now calculate the prime factors of 8640 and 8652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8640 and 8652.

How to find the GCF of 8640 and 8652?

We will first find the prime factorization of 8640 and 8652. After we will calculate the factors of 8640 and 8652 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 8652

Prime factors of 8652 are 2, 3, 7, 103. Prime factorization of 8652 in exponential form is:

8652 = 2² × 3¹ × 7¹ × 103¹

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 8652

List of positive integer factors of 8652 that divides 8640 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8640 and 8652. The biggest common factor number is the GCF number.
So the greatest common factor 8640 and 8652 is 12.

Also check out the Least Common Multiple of 8640 and 8652