What is the Greatest Common Factor of 13770 and 13779?

Greatest common factor (GCF) of 13770 and 13779 is 9.

GCF(13770,13779) = 9

We will now calculate the prime factors of 13770 and 13779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13770 and 13779.

How to find the GCF of 13770 and 13779?

We will first find the prime factorization of 13770 and 13779. After we will calculate the factors of 13770 and 13779 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 13779

Prime factors of 13779 are 3, 1531. Prime factorization of 13779 in exponential form is:

13779 = 3² × 1531¹

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 13779

List of positive integer factors of 13779 that divides 13770 without a remainder.

1, 3, 9, 1531, 4593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13770 and 13779. The biggest common factor number is the GCF number.
So the greatest common factor 13770 and 13779 is 9.

Also check out the Least Common Multiple of 13770 and 13779