What is the Greatest Common Factor of 9794 and 9808?

Greatest common factor (GCF) of 9794 and 9808 is 2.

GCF(9794,9808) = 2

We will now calculate the prime factors of 9794 and 9808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9794 and 9808.

How to find the GCF of 9794 and 9808?

We will first find the prime factorization of 9794 and 9808. After we will calculate the factors of 9794 and 9808 and find the biggest common factor number .

Step-1: Prime Factorization of 9794

Prime factors of 9794 are 2, 59, 83. Prime factorization of 9794 in exponential form is:

9794 = 2¹ × 59¹ × 83¹

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 9794

List of positive integer factors of 9794 that divides 9794 without a remainder.

1, 2, 59, 83, 118, 166, 4897

Step-4: Factors of 9808

List of positive integer factors of 9808 that divides 9794 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 9794 and 9808. The biggest common factor number is the GCF number.
So the greatest common factor 9794 and 9808 is 2.

Also check out the Least Common Multiple of 9794 and 9808