What is the Greatest Common Factor of 9815 and 9828?

Greatest common factor (GCF) of 9815 and 9828 is 13.

GCF(9815,9828) = 13

We will now calculate the prime factors of 9815 and 9828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9815 and 9828.

How to find the GCF of 9815 and 9828?

We will first find the prime factorization of 9815 and 9828. After we will calculate the factors of 9815 and 9828 and find the biggest common factor number .

Step-1: Prime Factorization of 9815

Prime factors of 9815 are 5, 13, 151. Prime factorization of 9815 in exponential form is:

9815 = 5¹ × 13¹ × 151¹

Step-2: Prime Factorization of 9828

Prime factors of 9828 are 2, 3, 7, 13. Prime factorization of 9828 in exponential form is:

9828 = 2² × 3³ × 7¹ × 13¹

Step-3: Factors of 9815

List of positive integer factors of 9815 that divides 9815 without a remainder.

1, 5, 13, 65, 151, 755, 1963

Step-4: Factors of 9828

List of positive integer factors of 9828 that divides 9815 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9815 and 9828. The biggest common factor number is the GCF number.
So the greatest common factor 9815 and 9828 is 13.

Also check out the Least Common Multiple of 9815 and 9828