What is the Greatest Common Factor of 8820 and 8830?

Greatest common factor (GCF) of 8820 and 8830 is 10.

GCF(8820,8830) = 10

We will now calculate the prime factors of 8820 and 8830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8820 and 8830.

How to find the GCF of 8820 and 8830?

We will first find the prime factorization of 8820 and 8830. After we will calculate the factors of 8820 and 8830 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8830

Prime factors of 8830 are 2, 5, 883. Prime factorization of 8830 in exponential form is:

8830 = 2¹ × 5¹ × 883¹

Step-3: Factors of 8820

List of positive integer factors of 8820 that divides 8820 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

Step-4: Factors of 8830

List of positive integer factors of 8830 that divides 8820 without a remainder.

1, 2, 5, 10, 883, 1766, 4415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8820 and 8830. The biggest common factor number is the GCF number.
So the greatest common factor 8820 and 8830 is 10.

Also check out the Least Common Multiple of 8820 and 8830