What is the Greatest Common Factor of 24804 and 24809?

Greatest common factor (GCF) of 24804 and 24809 is 1.

GCF(24804,24809) = 1

We will now calculate the prime factors of 24804 and 24809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24804 and 24809.

How to find the GCF of 24804 and 24809?

We will first find the prime factorization of 24804 and 24809. After we will calculate the factors of 24804 and 24809 and find the biggest common factor number .

Step-1: Prime Factorization of 24804

Prime factors of 24804 are 2, 3, 13, 53. Prime factorization of 24804 in exponential form is:

24804 = 2² × 3² × 13¹ × 53¹

Step-2: Prime Factorization of 24809

Prime factors of 24809 are 24809. Prime factorization of 24809 in exponential form is:

24809 = 24809¹

Step-3: Factors of 24804

List of positive integer factors of 24804 that divides 24804 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 53, 78, 106, 117, 156, 159, 212, 234, 318, 468, 477, 636, 689, 954, 1378, 1908, 2067, 2756, 4134, 6201, 8268, 12402

Step-4: Factors of 24809

List of positive integer factors of 24809 that divides 24804 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24804 and 24809. The biggest common factor number is the GCF number.
So the greatest common factor 24804 and 24809 is 1.

Also check out the Least Common Multiple of 24804 and 24809