What is the Greatest Common Factor of 16149 and 16168?

Greatest common factor (GCF) of 16149 and 16168 is 1.

GCF(16149,16168) = 1

We will now calculate the prime factors of 16149 and 16168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16149 and 16168.

How to find the GCF of 16149 and 16168?

We will first find the prime factorization of 16149 and 16168. After we will calculate the factors of 16149 and 16168 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 16168

Prime factors of 16168 are 2, 43, 47. Prime factorization of 16168 in exponential form is:

16168 = 2³ × 43¹ × 47¹

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 16168

List of positive integer factors of 16168 that divides 16149 without a remainder.

1, 2, 4, 8, 43, 47, 86, 94, 172, 188, 344, 376, 2021, 4042, 8084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16149 and 16168. The biggest common factor number is the GCF number.
So the greatest common factor 16149 and 16168 is 1.

Also check out the Least Common Multiple of 16149 and 16168