What is the Greatest Common Factor of 9814 and 9828?

Greatest common factor (GCF) of 9814 and 9828 is 14.

GCF(9814,9828) = 14

We will now calculate the prime factors of 9814 and 9828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9814 and 9828.

How to find the GCF of 9814 and 9828?

We will first find the prime factorization of 9814 and 9828. After we will calculate the factors of 9814 and 9828 and find the biggest common factor number .

Step-1: Prime Factorization of 9814

Prime factors of 9814 are 2, 7, 701. Prime factorization of 9814 in exponential form is:

9814 = 2¹ × 7¹ × 701¹

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 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1, 2, 7, 14, 701, 1402, 4907

Step-4: Factors of 9828

List of positive integer factors of 9828 that divides 9814 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 9814 and 9828. The biggest common factor number is the GCF number.
So the greatest common factor 9814 and 9828 is 14.

Also check out the Least Common Multiple of 9814 and 9828