What is the Greatest Common Factor of 8844 and 8856?

Greatest common factor (GCF) of 8844 and 8856 is 12.

GCF(8844,8856) = 12

We will now calculate the prime factors of 8844 and 8856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8844 and 8856.

How to find the GCF of 8844 and 8856?

We will first find the prime factorization of 8844 and 8856. After we will calculate the factors of 8844 and 8856 and find the biggest common factor number .

Step-1: Prime Factorization of 8844

Prime factors of 8844 are 2, 3, 11, 67. Prime factorization of 8844 in exponential form is:

8844 = 2² × 3¹ × 11¹ × 67¹

Step-2: Prime Factorization of 8856

Prime factors of 8856 are 2, 3, 41. Prime factorization of 8856 in exponential form is:

8856 = 2³ × 3³ × 41¹

Step-3: Factors of 8844

List of positive integer factors of 8844 that divides 8844 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 67, 132, 134, 201, 268, 402, 737, 804, 1474, 2211, 2948, 4422

Step-4: Factors of 8856

List of positive integer factors of 8856 that divides 8844 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8844 and 8856. The biggest common factor number is the GCF number.
So the greatest common factor 8844 and 8856 is 12.

Also check out the Least Common Multiple of 8844 and 8856