What is the Greatest Common Factor of 12456 and 12474?

Greatest common factor (GCF) of 12456 and 12474 is 18.

GCF(12456,12474) = 18

We will now calculate the prime factors of 12456 and 12474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12456 and 12474.

How to find the GCF of 12456 and 12474?

We will first find the prime factorization of 12456 and 12474. After we will calculate the factors of 12456 and 12474 and find the biggest common factor number .

Step-1: Prime Factorization of 12456

Prime factors of 12456 are 2, 3, 173. Prime factorization of 12456 in exponential form is:

12456 = 2³ × 3² × 173¹

Step-2: Prime Factorization of 12474

Prime factors of 12474 are 2, 3, 7, 11. Prime factorization of 12474 in exponential form is:

12474 = 2¹ × 3⁴ × 7¹ × 11¹

Step-3: Factors of 12456

List of positive integer factors of 12456 that divides 12456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 173, 346, 519, 692, 1038, 1384, 1557, 2076, 3114, 4152, 6228

Step-4: Factors of 12474

List of positive integer factors of 12474 that divides 12456 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 81, 99, 126, 154, 162, 189, 198, 231, 297, 378, 462, 567, 594, 693, 891, 1134, 1386, 1782, 2079, 4158, 6237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12456 and 12474. The biggest common factor number is the GCF number.
So the greatest common factor 12456 and 12474 is 18.

Also check out the Least Common Multiple of 12456 and 12474