What is the Greatest Common Factor of 8800 and 8812?

Greatest common factor (GCF) of 8800 and 8812 is 4.

GCF(8800,8812) = 4

We will now calculate the prime factors of 8800 and 8812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8800 and 8812.

How to find the GCF of 8800 and 8812?

We will first find the prime factorization of 8800 and 8812. After we will calculate the factors of 8800 and 8812 and find the biggest common factor number .

Step-1: Prime Factorization of 8800

Prime factors of 8800 are 2, 5, 11. Prime factorization of 8800 in exponential form is:

8800 = 2⁵ × 5² × 11¹

Step-2: Prime Factorization of 8812

Prime factors of 8812 are 2, 2203. Prime factorization of 8812 in exponential form is:

8812 = 2² × 2203¹

Step-3: Factors of 8800

List of positive integer factors of 8800 that divides 8800 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400

Step-4: Factors of 8812

List of positive integer factors of 8812 that divides 8800 without a remainder.

1, 2, 4, 2203, 4406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8800 and 8812. The biggest common factor number is the GCF number.
So the greatest common factor 8800 and 8812 is 4.

Also check out the Least Common Multiple of 8800 and 8812