What is the Greatest Common Factor of 8864 and 8872?

Greatest common factor (GCF) of 8864 and 8872 is 8.

GCF(8864,8872) = 8

We will now calculate the prime factors of 8864 and 8872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8864 and 8872.

How to find the GCF of 8864 and 8872?

We will first find the prime factorization of 8864 and 8872. After we will calculate the factors of 8864 and 8872 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 8872

Prime factors of 8872 are 2, 1109. Prime factorization of 8872 in exponential form is:

8872 = 2³ × 1109¹

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 8872

List of positive integer factors of 8872 that divides 8864 without a remainder.

1, 2, 4, 8, 1109, 2218, 4436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8864 and 8872. The biggest common factor number is the GCF number.
So the greatest common factor 8864 and 8872 is 8.

Also check out the Least Common Multiple of 8864 and 8872