What is the Greatest Common Factor of 24804 and 24812?

Greatest common factor (GCF) of 24804 and 24812 is 4.

GCF(24804,24812) = 4

We will now calculate the prime factors of 24804 and 24812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24804 and 24812.

How to find the GCF of 24804 and 24812?

We will first find the prime factorization of 24804 and 24812. After we will calculate the factors of 24804 and 24812 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 24812

Prime factors of 24812 are 2, 6203. Prime factorization of 24812 in exponential form is:

24812 = 2² × 6203¹

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 24812

List of positive integer factors of 24812 that divides 24804 without a remainder.

1, 2, 4, 6203, 12406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24804 and 24812. The biggest common factor number is the GCF number.
So the greatest common factor 24804 and 24812 is 4.

Also check out the Least Common Multiple of 24804 and 24812