What is the Greatest Common Factor of 12740 and 12760?

Greatest common factor (GCF) of 12740 and 12760 is 20.

GCF(12740,12760) = 20

We will now calculate the prime factors of 12740 and 12760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12740 and 12760.

How to find the GCF of 12740 and 12760?

We will first find the prime factorization of 12740 and 12760. After we will calculate the factors of 12740 and 12760 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 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 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 12760

List of positive integer factors of 12760 that divides 12740 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 12740 and 12760. The biggest common factor number is the GCF number.
So the greatest common factor 12740 and 12760 is 20.

Also check out the Least Common Multiple of 12740 and 12760