What is the Greatest Common Factor of 10914 and 10931?

Greatest common factor (GCF) of 10914 and 10931 is 17.

GCF(10914,10931) = 17

We will now calculate the prime factors of 10914 and 10931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10914 and 10931.

How to find the GCF of 10914 and 10931?

We will first find the prime factorization of 10914 and 10931. After we will calculate the factors of 10914 and 10931 and find the biggest common factor number .

Step-1: Prime Factorization of 10914

Prime factors of 10914 are 2, 3, 17, 107. Prime factorization of 10914 in exponential form is:

10914 = 2¹ × 3¹ × 17¹ × 107¹

Step-2: Prime Factorization of 10931

Prime factors of 10931 are 17, 643. Prime factorization of 10931 in exponential form is:

10931 = 17¹ × 643¹

Step-3: Factors of 10914

List of positive integer factors of 10914 that divides 10914 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 107, 214, 321, 642, 1819, 3638, 5457

Step-4: Factors of 10931

List of positive integer factors of 10931 that divides 10914 without a remainder.

1, 17, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10914 and 10931. The biggest common factor number is the GCF number.
So the greatest common factor 10914 and 10931 is 17.

Also check out the Least Common Multiple of 10914 and 10931