What is the Greatest Common Factor of 8816 and 8820?

Greatest common factor (GCF) of 8816 and 8820 is 4.

GCF(8816,8820) = 4

We will now calculate the prime factors of 8816 and 8820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8816 and 8820.

How to find the GCF of 8816 and 8820?

We will first find the prime factorization of 8816 and 8820. After we will calculate the factors of 8816 and 8820 and find the biggest common factor number .

Step-1: Prime Factorization of 8816

Prime factors of 8816 are 2, 19, 29. Prime factorization of 8816 in exponential form is:

8816 = 2⁴ × 19¹ × 29¹

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 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408

Step-4: Factors of 8820

List of positive integer factors of 8820 that divides 8816 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 8816 and 8820. The biggest common factor number is the GCF number.
So the greatest common factor 8816 and 8820 is 4.

Also check out the Least Common Multiple of 8816 and 8820