What is the Greatest Common Factor of 9808 and 9826?

Greatest common factor (GCF) of 9808 and 9826 is 2.

GCF(9808,9826) = 2

We will now calculate the prime factors of 9808 and 9826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9808 and 9826.

How to find the GCF of 9808 and 9826?

We will first find the prime factorization of 9808 and 9826. After we will calculate the factors of 9808 and 9826 and find the biggest common factor number .

Step-1: Prime Factorization of 9808

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

9808 = 2⁴ × 613¹

Step-2: Prime Factorization of 9826

Prime factors of 9826 are 2, 17. Prime factorization of 9826 in exponential form is:

9826 = 2¹ × 17³

Step-3: Factors of 9808

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

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

Step-4: Factors of 9826

List of positive integer factors of 9826 that divides 9808 without a remainder.

1, 2, 17, 34, 289, 578, 4913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9808 and 9826. The biggest common factor number is the GCF number.
So the greatest common factor 9808 and 9826 is 2.

Also check out the Least Common Multiple of 9808 and 9826