What is the Greatest Common Factor of 16149 and 16155?

Greatest common factor (GCF) of 16149 and 16155 is 3.

GCF(16149,16155) = 3

We will now calculate the prime factors of 16149 and 16155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16149 and 16155.

How to find the GCF of 16149 and 16155?

We will first find the prime factorization of 16149 and 16155. After we will calculate the factors of 16149 and 16155 and find the biggest common factor number .

Step-1: Prime Factorization of 16149

Prime factors of 16149 are 3, 7, 769. Prime factorization of 16149 in exponential form is:

16149 = 3¹ × 7¹ × 769¹

Step-2: Prime Factorization of 16155

Prime factors of 16155 are 3, 5, 359. Prime factorization of 16155 in exponential form is:

16155 = 3² × 5¹ × 359¹

Step-3: Factors of 16149

List of positive integer factors of 16149 that divides 16149 without a remainder.

1, 3, 7, 21, 769, 2307, 5383

Step-4: Factors of 16155

List of positive integer factors of 16155 that divides 16149 without a remainder.

1, 3, 5, 9, 15, 45, 359, 1077, 1795, 3231, 5385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16149 and 16155. The biggest common factor number is the GCF number.
So the greatest common factor 16149 and 16155 is 3.

Also check out the Least Common Multiple of 16149 and 16155