What is the Greatest Common Factor of 24819 and 24836?

Greatest common factor (GCF) of 24819 and 24836 is 1.

GCF(24819,24836) = 1

We will now calculate the prime factors of 24819 and 24836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24819 and 24836.

How to find the GCF of 24819 and 24836?

We will first find the prime factorization of 24819 and 24836. After we will calculate the factors of 24819 and 24836 and find the biggest common factor number .

Step-1: Prime Factorization of 24819

Prime factors of 24819 are 3, 8273. Prime factorization of 24819 in exponential form is:

24819 = 3¹ × 8273¹

Step-2: Prime Factorization of 24836

Prime factors of 24836 are 2, 7, 887. Prime factorization of 24836 in exponential form is:

24836 = 2² × 7¹ × 887¹

Step-3: Factors of 24819

List of positive integer factors of 24819 that divides 24819 without a remainder.

1, 3, 8273

Step-4: Factors of 24836

List of positive integer factors of 24836 that divides 24819 without a remainder.

1, 2, 4, 7, 14, 28, 887, 1774, 3548, 6209, 12418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24819 and 24836. The biggest common factor number is the GCF number.
So the greatest common factor 24819 and 24836 is 1.

Also check out the Least Common Multiple of 24819 and 24836