What is the Greatest Common Factor of 12740 and 12759?

Greatest common factor (GCF) of 12740 and 12759 is 1.

GCF(12740,12759) = 1

We will now calculate the prime factors of 12740 and 12759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12740 and 12759.

How to find the GCF of 12740 and 12759?

We will first find the prime factorization of 12740 and 12759. After we will calculate the factors of 12740 and 12759 and find the biggest common factor number .

Step-1: Prime Factorization of 12740

Prime factors of 12740 are 2, 5, 7, 13. Prime factorization of 12740 in exponential form is:

12740 = 2² × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 12759

Prime factors of 12759 are 3, 4253. Prime factorization of 12759 in exponential form is:

12759 = 3¹ × 4253¹

Step-3: Factors of 12740

List of positive integer factors of 12740 that divides 12740 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 49, 52, 65, 70, 91, 98, 130, 140, 182, 196, 245, 260, 364, 455, 490, 637, 910, 980, 1274, 1820, 2548, 3185, 6370

Step-4: Factors of 12759

List of positive integer factors of 12759 that divides 12740 without a remainder.

1, 3, 4253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12740 and 12759. The biggest common factor number is the GCF number.
So the greatest common factor 12740 and 12759 is 1.

Also check out the Least Common Multiple of 12740 and 12759