What is the Greatest Common Factor of 9792 and 9808?

Greatest common factor (GCF) of 9792 and 9808 is 16.

GCF(9792,9808) = 16

We will now calculate the prime factors of 9792 and 9808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9792 and 9808.

How to find the GCF of 9792 and 9808?

We will first find the prime factorization of 9792 and 9808. After we will calculate the factors of 9792 and 9808 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 9808

Prime factors of 9808 are 2, 613. Prime factorization of 9808 in exponential form is:

9808 = 2⁴ × 613¹

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 9808

List of positive integer factors of 9808 that divides 9792 without a remainder.

1, 2, 4, 8, 16, 613, 1226, 2452, 4904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9792 and 9808. The biggest common factor number is the GCF number.
So the greatest common factor 9792 and 9808 is 16.

Also check out the Least Common Multiple of 9792 and 9808