What is the Greatest Common Factor of 13770 and 13777?

Greatest common factor (GCF) of 13770 and 13777 is 1.

GCF(13770,13777) = 1

We will now calculate the prime factors of 13770 and 13777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13770 and 13777.

How to find the GCF of 13770 and 13777?

We will first find the prime factorization of 13770 and 13777. After we will calculate the factors of 13770 and 13777 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 13777

Prime factors of 13777 are 23, 599. Prime factorization of 13777 in exponential form is:

13777 = 23¹ × 599¹

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 13777

List of positive integer factors of 13777 that divides 13770 without a remainder.

1, 23, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13770 and 13777. The biggest common factor number is the GCF number.
So the greatest common factor 13770 and 13777 is 1.

Also check out the Least Common Multiple of 13770 and 13777