What is the Greatest Common Factor of 8800 and 8820?

Greatest common factor (GCF) of 8800 and 8820 is 20.

GCF(8800,8820) = 20

We will now calculate the prime factors of 8800 and 8820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8800 and 8820.

How to find the GCF of 8800 and 8820?

We will first find the prime factorization of 8800 and 8820. After we will calculate the factors of 8800 and 8820 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 8820

Prime factors of 8820 are 2, 3, 5, 7. Prime factorization of 8820 in exponential form is:

8820 = 2² × 3² × 5¹ × 7²

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 8820

List of positive integer factors of 8820 that divides 8800 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8800 and 8820. The biggest common factor number is the GCF number.
So the greatest common factor 8800 and 8820 is 20.

Also check out the Least Common Multiple of 8800 and 8820