What is the Greatest Common Factor of 12738 and 12750?

Greatest common factor (GCF) of 12738 and 12750 is 6.

GCF(12738,12750) = 6

We will now calculate the prime factors of 12738 and 12750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12738 and 12750.

How to find the GCF of 12738 and 12750?

We will first find the prime factorization of 12738 and 12750. After we will calculate the factors of 12738 and 12750 and find the biggest common factor number .

Step-1: Prime Factorization of 12738

Prime factors of 12738 are 2, 3, 11, 193. Prime factorization of 12738 in exponential form is:

12738 = 2¹ × 3¹ × 11¹ × 193¹

Step-2: Prime Factorization of 12750

Prime factors of 12750 are 2, 3, 5, 17. Prime factorization of 12750 in exponential form is:

12750 = 2¹ × 3¹ × 5³ × 17¹

Step-3: Factors of 12738

List of positive integer factors of 12738 that divides 12738 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 193, 386, 579, 1158, 2123, 4246, 6369

Step-4: Factors of 12750

List of positive integer factors of 12750 that divides 12738 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 125, 150, 170, 250, 255, 375, 425, 510, 750, 850, 1275, 2125, 2550, 4250, 6375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12738 and 12750. The biggest common factor number is the GCF number.
So the greatest common factor 12738 and 12750 is 6.

Also check out the Least Common Multiple of 12738 and 12750