What is the Greatest Common Factor of 10914 and 10928?

Greatest common factor (GCF) of 10914 and 10928 is 2.

GCF(10914,10928) = 2

We will now calculate the prime factors of 10914 and 10928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10914 and 10928.

How to find the GCF of 10914 and 10928?

We will first find the prime factorization of 10914 and 10928. After we will calculate the factors of 10914 and 10928 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 10928

Prime factors of 10928 are 2, 683. Prime factorization of 10928 in exponential form is:

10928 = 2⁴ × 683¹

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 10928

List of positive integer factors of 10928 that divides 10914 without a remainder.

1, 2, 4, 8, 16, 683, 1366, 2732, 5464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10914 and 10928. The biggest common factor number is the GCF number.
So the greatest common factor 10914 and 10928 is 2.

Also check out the Least Common Multiple of 10914 and 10928