What is the Greatest Common Factor of 12742 and 12760?

Greatest common factor (GCF) of 12742 and 12760 is 2.

GCF(12742,12760) = 2

We will now calculate the prime factors of 12742 and 12760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12742 and 12760.

How to find the GCF of 12742 and 12760?

We will first find the prime factorization of 12742 and 12760. After we will calculate the factors of 12742 and 12760 and find the biggest common factor number .

Step-1: Prime Factorization of 12742

Prime factors of 12742 are 2, 23, 277. Prime factorization of 12742 in exponential form is:

12742 = 2¹ × 23¹ × 277¹

Step-2: Prime Factorization of 12760

Prime factors of 12760 are 2, 5, 11, 29. Prime factorization of 12760 in exponential form is:

12760 = 2³ × 5¹ × 11¹ × 29¹

Step-3: Factors of 12742

List of positive integer factors of 12742 that divides 12742 without a remainder.

1, 2, 23, 46, 277, 554, 6371

Step-4: Factors of 12760

List of positive integer factors of 12760 that divides 12742 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 29, 40, 44, 55, 58, 88, 110, 116, 145, 220, 232, 290, 319, 440, 580, 638, 1160, 1276, 1595, 2552, 3190, 6380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12742 and 12760. The biggest common factor number is the GCF number.
So the greatest common factor 12742 and 12760 is 2.

Also check out the Least Common Multiple of 12742 and 12760