What is the Greatest Common Factor of 8820 and 8835?

Greatest common factor (GCF) of 8820 and 8835 is 15.

GCF(8820,8835) = 15

We will now calculate the prime factors of 8820 and 8835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8820 and 8835.

How to find the GCF of 8820 and 8835?

We will first find the prime factorization of 8820 and 8835. After we will calculate the factors of 8820 and 8835 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 8835

Prime factors of 8835 are 3, 5, 19, 31. Prime factorization of 8835 in exponential form is:

8835 = 3¹ × 5¹ × 19¹ × 31¹

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 8835

List of positive integer factors of 8835 that divides 8820 without a remainder.

1, 3, 5, 15, 19, 31, 57, 93, 95, 155, 285, 465, 589, 1767, 2945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8820 and 8835. The biggest common factor number is the GCF number.
So the greatest common factor 8820 and 8835 is 15.

Also check out the Least Common Multiple of 8820 and 8835