What is the Greatest Common Factor of 10906 and 10913?

Greatest common factor (GCF) of 10906 and 10913 is 7.

GCF(10906,10913) = 7

We will now calculate the prime factors of 10906 and 10913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10906 and 10913.

How to find the GCF of 10906 and 10913?

We will first find the prime factorization of 10906 and 10913. After we will calculate the factors of 10906 and 10913 and find the biggest common factor number .

Step-1: Prime Factorization of 10906

Prime factors of 10906 are 2, 7, 19, 41. Prime factorization of 10906 in exponential form is:

10906 = 2¹ × 7¹ × 19¹ × 41¹

Step-2: Prime Factorization of 10913

Prime factors of 10913 are 7, 1559. Prime factorization of 10913 in exponential form is:

10913 = 7¹ × 1559¹

Step-3: Factors of 10906

List of positive integer factors of 10906 that divides 10906 without a remainder.

1, 2, 7, 14, 19, 38, 41, 82, 133, 266, 287, 574, 779, 1558, 5453

Step-4: Factors of 10913

List of positive integer factors of 10913 that divides 10906 without a remainder.

1, 7, 1559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10906 and 10913. The biggest common factor number is the GCF number.
So the greatest common factor 10906 and 10913 is 7.

Also check out the Least Common Multiple of 10906 and 10913