What is the Greatest Common Factor of 8806 and 8820?

Greatest common factor (GCF) of 8806 and 8820 is 14.

GCF(8806,8820) = 14

We will now calculate the prime factors of 8806 and 8820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8806 and 8820.

How to find the GCF of 8806 and 8820?

We will first find the prime factorization of 8806 and 8820. After we will calculate the factors of 8806 and 8820 and find the biggest common factor number .

Step-1: Prime Factorization of 8806

Prime factors of 8806 are 2, 7, 17, 37. Prime factorization of 8806 in exponential form is:

8806 = 2¹ × 7¹ × 17¹ × 37¹

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 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403

Step-4: Factors of 8820

List of positive integer factors of 8820 that divides 8806 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 8806 and 8820. The biggest common factor number is the GCF number.
So the greatest common factor 8806 and 8820 is 14.

Also check out the Least Common Multiple of 8806 and 8820