What is the Greatest Common Factor of 8872 and 8884?

Greatest common factor (GCF) of 8872 and 8884 is 4.

GCF(8872,8884) = 4

We will now calculate the prime factors of 8872 and 8884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8872 and 8884.

How to find the GCF of 8872 and 8884?

We will first find the prime factorization of 8872 and 8884. After we will calculate the factors of 8872 and 8884 and find the biggest common factor number .

Step-1: Prime Factorization of 8872

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

8872 = 2³ × 1109¹

Step-2: Prime Factorization of 8884

Prime factors of 8884 are 2, 2221. Prime factorization of 8884 in exponential form is:

8884 = 2² × 2221¹

Step-3: Factors of 8872

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

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

Step-4: Factors of 8884

List of positive integer factors of 8884 that divides 8872 without a remainder.

1, 2, 4, 2221, 4442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8872 and 8884. The biggest common factor number is the GCF number.
So the greatest common factor 8872 and 8884 is 4.

Also check out the Least Common Multiple of 8872 and 8884