What is the Greatest Common Factor of 10923 and 10929?

Greatest common factor (GCF) of 10923 and 10929 is 3.

GCF(10923,10929) = 3

We will now calculate the prime factors of 10923 and 10929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10923 and 10929.

How to find the GCF of 10923 and 10929?

We will first find the prime factorization of 10923 and 10929. After we will calculate the factors of 10923 and 10929 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10929

Prime factors of 10929 are 3, 3643. Prime factorization of 10929 in exponential form is:

10929 = 3¹ × 3643¹

Step-3: Factors of 10923

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

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

Step-4: Factors of 10929

List of positive integer factors of 10929 that divides 10923 without a remainder.

1, 3, 3643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10923 and 10929. The biggest common factor number is the GCF number.
So the greatest common factor 10923 and 10929 is 3.

Also check out the Least Common Multiple of 10923 and 10929