What is the Greatest Common Factor of 16149 and 16163?

Greatest common factor (GCF) of 16149 and 16163 is 7.

GCF(16149,16163) = 7

We will now calculate the prime factors of 16149 and 16163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16149 and 16163.

How to find the GCF of 16149 and 16163?

We will first find the prime factorization of 16149 and 16163. After we will calculate the factors of 16149 and 16163 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 16163

Prime factors of 16163 are 7, 2309. Prime factorization of 16163 in exponential form is:

16163 = 7¹ × 2309¹

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 16163

List of positive integer factors of 16163 that divides 16149 without a remainder.

1, 7, 2309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16149 and 16163. The biggest common factor number is the GCF number.
So the greatest common factor 16149 and 16163 is 7.

Also check out the Least Common Multiple of 16149 and 16163