What is the Greatest Common Factor of 9828 and 9847?

Greatest common factor (GCF) of 9828 and 9847 is 1.

GCF(9828,9847) = 1

We will now calculate the prime factors of 9828 and 9847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9828 and 9847.

How to find the GCF of 9828 and 9847?

We will first find the prime factorization of 9828 and 9847. After we will calculate the factors of 9828 and 9847 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9847

Prime factors of 9847 are 43, 229. Prime factorization of 9847 in exponential form is:

9847 = 43¹ × 229¹

Step-3: Factors of 9828

List of positive integer factors of 9828 that divides 9828 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

Step-4: Factors of 9847

List of positive integer factors of 9847 that divides 9828 without a remainder.

1, 43, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9828 and 9847. The biggest common factor number is the GCF number.
So the greatest common factor 9828 and 9847 is 1.

Also check out the Least Common Multiple of 9828 and 9847