What is the Greatest Common Factor of 12460 and 12474?

Greatest common factor (GCF) of 12460 and 12474 is 14.

GCF(12460,12474) = 14

We will now calculate the prime factors of 12460 and 12474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12460 and 12474.

How to find the GCF of 12460 and 12474?

We will first find the prime factorization of 12460 and 12474. After we will calculate the factors of 12460 and 12474 and find the biggest common factor number .

Step-1: Prime Factorization of 12460

Prime factors of 12460 are 2, 5, 7, 89. Prime factorization of 12460 in exponential form is:

12460 = 2² × 5¹ × 7¹ × 89¹

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 12460

List of positive integer factors of 12460 that divides 12460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 89, 140, 178, 356, 445, 623, 890, 1246, 1780, 2492, 3115, 6230

Step-4: Factors of 12474

List of positive integer factors of 12474 that divides 12460 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 12460 and 12474. The biggest common factor number is the GCF number.
So the greatest common factor 12460 and 12474 is 14.

Also check out the Least Common Multiple of 12460 and 12474