What is the Greatest Common Factor of 24804 and 24810?

Greatest common factor (GCF) of 24804 and 24810 is 6.

GCF(24804,24810) = 6

We will now calculate the prime factors of 24804 and 24810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24804 and 24810.

How to find the GCF of 24804 and 24810?

We will first find the prime factorization of 24804 and 24810. After we will calculate the factors of 24804 and 24810 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 24810

Prime factors of 24810 are 2, 3, 5, 827. Prime factorization of 24810 in exponential form is:

24810 = 2¹ × 3¹ × 5¹ × 827¹

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 24810

List of positive integer factors of 24810 that divides 24804 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 827, 1654, 2481, 4135, 4962, 8270, 12405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24804 and 24810. The biggest common factor number is the GCF number.
So the greatest common factor 24804 and 24810 is 6.

Also check out the Least Common Multiple of 24804 and 24810