What is the Greatest Common Factor of 8856 and 8871?

Greatest common factor (GCF) of 8856 and 8871 is 3.

GCF(8856,8871) = 3

We will now calculate the prime factors of 8856 and 8871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8856 and 8871.

How to find the GCF of 8856 and 8871?

We will first find the prime factorization of 8856 and 8871. After we will calculate the factors of 8856 and 8871 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8871

Prime factors of 8871 are 3, 2957. Prime factorization of 8871 in exponential form is:

8871 = 3¹ × 2957¹

Step-3: Factors of 8856

List of positive integer factors of 8856 that divides 8856 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

Step-4: Factors of 8871

List of positive integer factors of 8871 that divides 8856 without a remainder.

1, 3, 2957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8856 and 8871. The biggest common factor number is the GCF number.
So the greatest common factor 8856 and 8871 is 3.

Also check out the Least Common Multiple of 8856 and 8871