What is the Greatest Common Factor of 10914 and 10923?

Greatest common factor (GCF) of 10914 and 10923 is 3.

GCF(10914,10923) = 3

We will now calculate the prime factors of 10914 and 10923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10914 and 10923.

How to find the GCF of 10914 and 10923?

We will first find the prime factorization of 10914 and 10923. After we will calculate the factors of 10914 and 10923 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 10923

Prime factors of 10923 are 3, 11, 331. Prime factorization of 10923 in exponential form is:

10923 = 3¹ × 11¹ × 331¹

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 10923

List of positive integer factors of 10923 that divides 10914 without a remainder.

1, 3, 11, 33, 331, 993, 3641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10914 and 10923. The biggest common factor number is the GCF number.
So the greatest common factor 10914 and 10923 is 3.

Also check out the Least Common Multiple of 10914 and 10923