What is the Greatest Common Factor of 12474 and 12488?

Greatest common factor (GCF) of 12474 and 12488 is 14.

GCF(12474,12488) = 14

We will now calculate the prime factors of 12474 and 12488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12474 and 12488.

How to find the GCF of 12474 and 12488?

We will first find the prime factorization of 12474 and 12488. After we will calculate the factors of 12474 and 12488 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 12488

Prime factors of 12488 are 2, 7, 223. Prime factorization of 12488 in exponential form is:

12488 = 2³ × 7¹ × 223¹

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 12488

List of positive integer factors of 12488 that divides 12474 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 223, 446, 892, 1561, 1784, 3122, 6244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12474 and 12488. The biggest common factor number is the GCF number.
So the greatest common factor 12474 and 12488 is 14.

Also check out the Least Common Multiple of 12474 and 12488