What is the Greatest Common Factor of 15906 and 15917?

Greatest common factor (GCF) of 15906 and 15917 is 11.

GCF(15906,15917) = 11

We will now calculate the prime factors of 15906 and 15917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15906 and 15917.

How to find the GCF of 15906 and 15917?

We will first find the prime factorization of 15906 and 15917. After we will calculate the factors of 15906 and 15917 and find the biggest common factor number .

Step-1: Prime Factorization of 15906

Prime factors of 15906 are 2, 3, 11, 241. Prime factorization of 15906 in exponential form is:

15906 = 2¹ × 3¹ × 11¹ × 241¹

Step-2: Prime Factorization of 15917

Prime factors of 15917 are 11, 1447. Prime factorization of 15917 in exponential form is:

15917 = 11¹ × 1447¹

Step-3: Factors of 15906

List of positive integer factors of 15906 that divides 15906 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 241, 482, 723, 1446, 2651, 5302, 7953

Step-4: Factors of 15917

List of positive integer factors of 15917 that divides 15906 without a remainder.

1, 11, 1447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15906 and 15917. The biggest common factor number is the GCF number.
So the greatest common factor 15906 and 15917 is 11.

Also check out the Least Common Multiple of 15906 and 15917