What is the Greatest Common Factor of 13905 and 13911?

Greatest common factor (GCF) of 13905 and 13911 is 3.

GCF(13905,13911) = 3

We will now calculate the prime factors of 13905 and 13911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13905 and 13911.

How to find the GCF of 13905 and 13911?

We will first find the prime factorization of 13905 and 13911. After we will calculate the factors of 13905 and 13911 and find the biggest common factor number .

Step-1: Prime Factorization of 13905

Prime factors of 13905 are 3, 5, 103. Prime factorization of 13905 in exponential form is:

13905 = 3³ × 5¹ × 103¹

Step-2: Prime Factorization of 13911

Prime factors of 13911 are 3, 4637. Prime factorization of 13911 in exponential form is:

13911 = 3¹ × 4637¹

Step-3: Factors of 13905

List of positive integer factors of 13905 that divides 13905 without a remainder.

1, 3, 5, 9, 15, 27, 45, 103, 135, 309, 515, 927, 1545, 2781, 4635

Step-4: Factors of 13911

List of positive integer factors of 13911 that divides 13905 without a remainder.

1, 3, 4637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13905 and 13911. The biggest common factor number is the GCF number.
So the greatest common factor 13905 and 13911 is 3.

Also check out the Least Common Multiple of 13905 and 13911