What is the Greatest Common Factor of 9808 and 9814?

Greatest common factor (GCF) of 9808 and 9814 is 2.

GCF(9808,9814) = 2

We will now calculate the prime factors of 9808 and 9814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9808 and 9814.

How to find the GCF of 9808 and 9814?

We will first find the prime factorization of 9808 and 9814. After we will calculate the factors of 9808 and 9814 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 9814

Prime factors of 9814 are 2, 7, 701. Prime factorization of 9814 in exponential form is:

9814 = 2¹ × 7¹ × 701¹

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 9814

List of positive integer factors of 9814 that divides 9808 without a remainder.

1, 2, 7, 14, 701, 1402, 4907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9808 and 9814. The biggest common factor number is the GCF number.
So the greatest common factor 9808 and 9814 is 2.

Also check out the Least Common Multiple of 9808 and 9814