What is the Greatest Common Factor of 12750 and 12762?

Greatest common factor (GCF) of 12750 and 12762 is 6.

GCF(12750,12762) = 6

We will now calculate the prime factors of 12750 and 12762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12750 and 12762.

How to find the GCF of 12750 and 12762?

We will first find the prime factorization of 12750 and 12762. After we will calculate the factors of 12750 and 12762 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12762

Prime factors of 12762 are 2, 3, 709. Prime factorization of 12762 in exponential form is:

12762 = 2¹ × 3² × 709¹

Step-3: Factors of 12750

List of positive integer factors of 12750 that divides 12750 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

Step-4: Factors of 12762

List of positive integer factors of 12762 that divides 12750 without a remainder.

1, 2, 3, 6, 9, 18, 709, 1418, 2127, 4254, 6381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12750 and 12762. The biggest common factor number is the GCF number.
So the greatest common factor 12750 and 12762 is 6.

Also check out the Least Common Multiple of 12750 and 12762