What is the Greatest Common Factor of 12734 and 12742?

Greatest common factor (GCF) of 12734 and 12742 is 2.

GCF(12734,12742) = 2

We will now calculate the prime factors of 12734 and 12742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12734 and 12742.

How to find the GCF of 12734 and 12742?

We will first find the prime factorization of 12734 and 12742. After we will calculate the factors of 12734 and 12742 and find the biggest common factor number .

Step-1: Prime Factorization of 12734

Prime factors of 12734 are 2, 6367. Prime factorization of 12734 in exponential form is:

12734 = 2¹ × 6367¹

Step-2: 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-3: Factors of 12734

List of positive integer factors of 12734 that divides 12734 without a remainder.

1, 2, 6367

Step-4: Factors of 12742

List of positive integer factors of 12742 that divides 12734 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12734 and 12742. The biggest common factor number is the GCF number.
So the greatest common factor 12734 and 12742 is 2.

Also check out the Least Common Multiple of 12734 and 12742