What is the Greatest Common Factor of 8864 and 8876?

Greatest common factor (GCF) of 8864 and 8876 is 4.

GCF(8864,8876) = 4

We will now calculate the prime factors of 8864 and 8876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8864 and 8876.

How to find the GCF of 8864 and 8876?

We will first find the prime factorization of 8864 and 8876. After we will calculate the factors of 8864 and 8876 and find the biggest common factor number .

Step-1: Prime Factorization of 8864

Prime factors of 8864 are 2, 277. Prime factorization of 8864 in exponential form is:

8864 = 2⁵ × 277¹

Step-2: Prime Factorization of 8876

Prime factors of 8876 are 2, 7, 317. Prime factorization of 8876 in exponential form is:

8876 = 2² × 7¹ × 317¹

Step-3: Factors of 8864

List of positive integer factors of 8864 that divides 8864 without a remainder.

1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432

Step-4: Factors of 8876

List of positive integer factors of 8876 that divides 8864 without a remainder.

1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8864 and 8876. The biggest common factor number is the GCF number.
So the greatest common factor 8864 and 8876 is 4.

Also check out the Least Common Multiple of 8864 and 8876