What is the Greatest Common Factor of 12750 and 12769?

Greatest common factor (GCF) of 12750 and 12769 is 1.

GCF(12750,12769) = 1

We will now calculate the prime factors of 12750 and 12769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12750 and 12769.

How to find the GCF of 12750 and 12769?

We will first find the prime factorization of 12750 and 12769. After we will calculate the factors of 12750 and 12769 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 12769

Prime factors of 12769 are 113. Prime factorization of 12769 in exponential form is:

12769 = 113²

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 12769

List of positive integer factors of 12769 that divides 12750 without a remainder.

1, 113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12750 and 12769. The biggest common factor number is the GCF number.
So the greatest common factor 12750 and 12769 is 1.

Also check out the Least Common Multiple of 12750 and 12769