What is the Greatest Common Factor of 9792 and 9806?

Greatest common factor (GCF) of 9792 and 9806 is 2.

GCF(9792,9806) = 2

We will now calculate the prime factors of 9792 and 9806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9792 and 9806.

How to find the GCF of 9792 and 9806?

We will first find the prime factorization of 9792 and 9806. After we will calculate the factors of 9792 and 9806 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 9806

Prime factors of 9806 are 2, 4903. Prime factorization of 9806 in exponential form is:

9806 = 2¹ × 4903¹

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 9806

List of positive integer factors of 9806 that divides 9792 without a remainder.

1, 2, 4903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9792 and 9806. The biggest common factor number is the GCF number.
So the greatest common factor 9792 and 9806 is 2.

Also check out the Least Common Multiple of 9792 and 9806