What is the Greatest Common Factor of 16809 and 16824?

Greatest common factor (GCF) of 16809 and 16824 is 3.

GCF(16809,16824) = 3

We will now calculate the prime factors of 16809 and 16824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16809 and 16824.

How to find the GCF of 16809 and 16824?

We will first find the prime factorization of 16809 and 16824. After we will calculate the factors of 16809 and 16824 and find the biggest common factor number .

Step-1: Prime Factorization of 16809

Prime factors of 16809 are 3, 13, 431. Prime factorization of 16809 in exponential form is:

16809 = 3¹ × 13¹ × 431¹

Step-2: Prime Factorization of 16824

Prime factors of 16824 are 2, 3, 701. Prime factorization of 16824 in exponential form is:

16824 = 2³ × 3¹ × 701¹

Step-3: Factors of 16809

List of positive integer factors of 16809 that divides 16809 without a remainder.

1, 3, 13, 39, 431, 1293, 5603

Step-4: Factors of 16824

List of positive integer factors of 16824 that divides 16809 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 701, 1402, 2103, 2804, 4206, 5608, 8412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16809 and 16824. The biggest common factor number is the GCF number.
So the greatest common factor 16809 and 16824 is 3.

Also check out the Least Common Multiple of 16809 and 16824