What is the Greatest Common Factor of 9788 and 9808?

Greatest common factor (GCF) of 9788 and 9808 is 4.

GCF(9788,9808) = 4

We will now calculate the prime factors of 9788 and 9808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9788 and 9808.

How to find the GCF of 9788 and 9808?

We will first find the prime factorization of 9788 and 9808. After we will calculate the factors of 9788 and 9808 and find the biggest common factor number .

Step-1: Prime Factorization of 9788

Prime factors of 9788 are 2, 2447. Prime factorization of 9788 in exponential form is:

9788 = 2² × 2447¹

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 9788

List of positive integer factors of 9788 that divides 9788 without a remainder.

1, 2, 4, 2447, 4894

Step-4: Factors of 9808

List of positive integer factors of 9808 that divides 9788 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 9788 and 9808. The biggest common factor number is the GCF number.
So the greatest common factor 9788 and 9808 is 4.

Also check out the Least Common Multiple of 9788 and 9808