What is the Greatest Common Factor of 13770 and 13790?

Greatest common factor (GCF) of 13770 and 13790 is 10.

GCF(13770,13790) = 10

We will now calculate the prime factors of 13770 and 13790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13770 and 13790.

How to find the GCF of 13770 and 13790?

We will first find the prime factorization of 13770 and 13790. After we will calculate the factors of 13770 and 13790 and find the biggest common factor number .

Step-1: Prime Factorization of 13770

Prime factors of 13770 are 2, 3, 5, 17. Prime factorization of 13770 in exponential form is:

13770 = 2¹ × 3⁴ × 5¹ × 17¹

Step-2: Prime Factorization of 13790

Prime factors of 13790 are 2, 5, 7, 197. Prime factorization of 13790 in exponential form is:

13790 = 2¹ × 5¹ × 7¹ × 197¹

Step-3: Factors of 13770

List of positive integer factors of 13770 that divides 13770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 81, 85, 90, 102, 135, 153, 162, 170, 255, 270, 306, 405, 459, 510, 765, 810, 918, 1377, 1530, 2295, 2754, 4590, 6885

Step-4: Factors of 13790

List of positive integer factors of 13790 that divides 13770 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 197, 394, 985, 1379, 1970, 2758, 6895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13770 and 13790. The biggest common factor number is the GCF number.
So the greatest common factor 13770 and 13790 is 10.

Also check out the Least Common Multiple of 13770 and 13790