What is the Greatest Common Factor of 9809 and 9824?

Greatest common factor (GCF) of 9809 and 9824 is 1.

GCF(9809,9824) = 1

We will now calculate the prime factors of 9809 and 9824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9809 and 9824.

How to find the GCF of 9809 and 9824?

We will first find the prime factorization of 9809 and 9824. After we will calculate the factors of 9809 and 9824 and find the biggest common factor number .

Step-1: Prime Factorization of 9809

Prime factors of 9809 are 17, 577. Prime factorization of 9809 in exponential form is:

9809 = 17¹ × 577¹

Step-2: Prime Factorization of 9824

Prime factors of 9824 are 2, 307. Prime factorization of 9824 in exponential form is:

9824 = 2⁵ × 307¹

Step-3: Factors of 9809

List of positive integer factors of 9809 that divides 9809 without a remainder.

1, 17, 577

Step-4: Factors of 9824

List of positive integer factors of 9824 that divides 9809 without a remainder.

1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9809 and 9824. The biggest common factor number is the GCF number.
So the greatest common factor 9809 and 9824 is 1.

Also check out the Least Common Multiple of 9809 and 9824