What is the Greatest Common Factor of 12474 and 12478?

Greatest common factor (GCF) of 12474 and 12478 is 2.

GCF(12474,12478) = 2

We will now calculate the prime factors of 12474 and 12478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12474 and 12478.

How to find the GCF of 12474 and 12478?

We will first find the prime factorization of 12474 and 12478. After we will calculate the factors of 12474 and 12478 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12478

Prime factors of 12478 are 2, 17, 367. Prime factorization of 12478 in exponential form is:

12478 = 2¹ × 17¹ × 367¹

Step-3: Factors of 12474

List of positive integer factors of 12474 that divides 12474 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

Step-4: Factors of 12478

List of positive integer factors of 12478 that divides 12474 without a remainder.

1, 2, 17, 34, 367, 734, 6239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12474 and 12478. The biggest common factor number is the GCF number.
So the greatest common factor 12474 and 12478 is 2.

Also check out the Least Common Multiple of 12474 and 12478