What is the Greatest Common Factor of 11907 and 11913?

Greatest common factor (GCF) of 11907 and 11913 is 3.

GCF(11907,11913) = 3

We will now calculate the prime factors of 11907 and 11913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11907 and 11913.

How to find the GCF of 11907 and 11913?

We will first find the prime factorization of 11907 and 11913. After we will calculate the factors of 11907 and 11913 and find the biggest common factor number .

Step-1: Prime Factorization of 11907

Prime factors of 11907 are 3, 7. Prime factorization of 11907 in exponential form is:

11907 = 3⁵ × 7²

Step-2: Prime Factorization of 11913

Prime factors of 11913 are 3, 11, 19. Prime factorization of 11913 in exponential form is:

11913 = 3¹ × 11¹ × 19²

Step-3: Factors of 11907

List of positive integer factors of 11907 that divides 11907 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 243, 441, 567, 1323, 1701, 3969

Step-4: Factors of 11913

List of positive integer factors of 11913 that divides 11907 without a remainder.

1, 3, 11, 19, 33, 57, 209, 361, 627, 1083, 3971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11907 and 11913. The biggest common factor number is the GCF number.
So the greatest common factor 11907 and 11913 is 3.

Also check out the Least Common Multiple of 11907 and 11913