What is the Greatest Common Factor of 9792 and 9798?

Greatest common factor (GCF) of 9792 and 9798 is 6.

GCF(9792,9798) = 6

We will now calculate the prime factors of 9792 and 9798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9792 and 9798.

How to find the GCF of 9792 and 9798?

We will first find the prime factorization of 9792 and 9798. After we will calculate the factors of 9792 and 9798 and find the biggest common factor number .

Step-1: Prime Factorization of 9792

Prime factors of 9792 are 2, 3, 17. Prime factorization of 9792 in exponential form is:

9792 = 2⁶ × 3² × 17¹

Step-2: Prime Factorization of 9798

Prime factors of 9798 are 2, 3, 23, 71. Prime factorization of 9798 in exponential form is:

9798 = 2¹ × 3¹ × 23¹ × 71¹

Step-3: Factors of 9792

List of positive integer factors of 9792 that divides 9792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896

Step-4: Factors of 9798

List of positive integer factors of 9798 that divides 9792 without a remainder.

1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9792 and 9798. The biggest common factor number is the GCF number.
So the greatest common factor 9792 and 9798 is 6.

Also check out the Least Common Multiple of 9792 and 9798