What is the Greatest Common Factor of 24819 and 24834?

Greatest common factor (GCF) of 24819 and 24834 is 3.

GCF(24819,24834) = 3

We will now calculate the prime factors of 24819 and 24834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24819 and 24834.

How to find the GCF of 24819 and 24834?

We will first find the prime factorization of 24819 and 24834. After we will calculate the factors of 24819 and 24834 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 24834

Prime factors of 24834 are 2, 3, 4139. Prime factorization of 24834 in exponential form is:

24834 = 2¹ × 3¹ × 4139¹

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 24834

List of positive integer factors of 24834 that divides 24819 without a remainder.

1, 2, 3, 6, 4139, 8278, 12417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24819 and 24834. The biggest common factor number is the GCF number.
So the greatest common factor 24819 and 24834 is 3.

Also check out the Least Common Multiple of 24819 and 24834