What is the Greatest Common Factor of 12740 and 12745?

Greatest common factor (GCF) of 12740 and 12745 is 5.

GCF(12740,12745) = 5

We will now calculate the prime factors of 12740 and 12745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12740 and 12745.

How to find the GCF of 12740 and 12745?

We will first find the prime factorization of 12740 and 12745. After we will calculate the factors of 12740 and 12745 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 12745

Prime factors of 12745 are 5, 2549. Prime factorization of 12745 in exponential form is:

12745 = 5¹ × 2549¹

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 12745

List of positive integer factors of 12745 that divides 12740 without a remainder.

1, 5, 2549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12740 and 12745. The biggest common factor number is the GCF number.
So the greatest common factor 12740 and 12745 is 5.

Also check out the Least Common Multiple of 12740 and 12745