What is the Greatest Common Factor of 13905 and 13917?

Greatest common factor (GCF) of 13905 and 13917 is 3.

GCF(13905,13917) = 3

We will now calculate the prime factors of 13905 and 13917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13905 and 13917.

How to find the GCF of 13905 and 13917?

We will first find the prime factorization of 13905 and 13917. After we will calculate the factors of 13905 and 13917 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 13917

Prime factors of 13917 are 3, 4639. Prime factorization of 13917 in exponential form is:

13917 = 3¹ × 4639¹

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 13917

List of positive integer factors of 13917 that divides 13905 without a remainder.

1, 3, 4639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13905 and 13917. The biggest common factor number is the GCF number.
So the greatest common factor 13905 and 13917 is 3.

Also check out the Least Common Multiple of 13905 and 13917