What is the Greatest Common Factor of 24786 and 24804?

Greatest common factor (GCF) of 24786 and 24804 is 18.

GCF(24786,24804) = 18

We will now calculate the prime factors of 24786 and 24804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24786 and 24804.

How to find the GCF of 24786 and 24804?

We will first find the prime factorization of 24786 and 24804. After we will calculate the factors of 24786 and 24804 and find the biggest common factor number .

Step-1: Prime Factorization of 24786

Prime factors of 24786 are 2, 3, 17. Prime factorization of 24786 in exponential form is:

24786 = 2¹ × 3⁶ × 17¹

Step-2: 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-3: Factors of 24786

List of positive integer factors of 24786 that divides 24786 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 729, 918, 1377, 1458, 2754, 4131, 8262, 12393

Step-4: Factors of 24804

List of positive integer factors of 24804 that divides 24786 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24786 and 24804. The biggest common factor number is the GCF number.
So the greatest common factor 24786 and 24804 is 18.

Also check out the Least Common Multiple of 24786 and 24804