What is the Greatest Common Factor of 16905 and 16923?

Greatest common factor (GCF) of 16905 and 16923 is 3.

GCF(16905,16923) = 3

We will now calculate the prime factors of 16905 and 16923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16905 and 16923.

How to find the GCF of 16905 and 16923?

We will first find the prime factorization of 16905 and 16923. After we will calculate the factors of 16905 and 16923 and find the biggest common factor number .

Step-1: Prime Factorization of 16905

Prime factors of 16905 are 3, 5, 7, 23. Prime factorization of 16905 in exponential form is:

16905 = 3¹ × 5¹ × 7² × 23¹

Step-2: Prime Factorization of 16923

Prime factors of 16923 are 3, 5641. Prime factorization of 16923 in exponential form is:

16923 = 3¹ × 5641¹

Step-3: Factors of 16905

List of positive integer factors of 16905 that divides 16905 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 49, 69, 105, 115, 147, 161, 245, 345, 483, 735, 805, 1127, 2415, 3381, 5635

Step-4: Factors of 16923

List of positive integer factors of 16923 that divides 16905 without a remainder.

1, 3, 5641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16905 and 16923. The biggest common factor number is the GCF number.
So the greatest common factor 16905 and 16923 is 3.

Also check out the Least Common Multiple of 16905 and 16923