What is the Greatest Common Factor of 10809 and 10824?

Greatest common factor (GCF) of 10809 and 10824 is 3.

GCF(10809,10824) = 3

We will now calculate the prime factors of 10809 and 10824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10809 and 10824.

How to find the GCF of 10809 and 10824?

We will first find the prime factorization of 10809 and 10824. After we will calculate the factors of 10809 and 10824 and find the biggest common factor number .

Step-1: Prime Factorization of 10809

Prime factors of 10809 are 3, 1201. Prime factorization of 10809 in exponential form is:

10809 = 3² × 1201¹

Step-2: Prime Factorization of 10824

Prime factors of 10824 are 2, 3, 11, 41. Prime factorization of 10824 in exponential form is:

10824 = 2³ × 3¹ × 11¹ × 41¹

Step-3: Factors of 10809

List of positive integer factors of 10809 that divides 10809 without a remainder.

1, 3, 9, 1201, 3603

Step-4: Factors of 10824

List of positive integer factors of 10824 that divides 10809 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 41, 44, 66, 82, 88, 123, 132, 164, 246, 264, 328, 451, 492, 902, 984, 1353, 1804, 2706, 3608, 5412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10809 and 10824. The biggest common factor number is the GCF number.
So the greatest common factor 10809 and 10824 is 3.

Also check out the Least Common Multiple of 10809 and 10824