What is the Greatest Common Factor of 16149 and 16156?

Greatest common factor (GCF) of 16149 and 16156 is 7.

GCF(16149,16156) = 7

We will now calculate the prime factors of 16149 and 16156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16149 and 16156.

How to find the GCF of 16149 and 16156?

We will first find the prime factorization of 16149 and 16156. After we will calculate the factors of 16149 and 16156 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 16156

Prime factors of 16156 are 2, 7, 577. Prime factorization of 16156 in exponential form is:

16156 = 2² × 7¹ × 577¹

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 16156

List of positive integer factors of 16156 that divides 16149 without a remainder.

1, 2, 4, 7, 14, 28, 577, 1154, 2308, 4039, 8078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16149 and 16156. The biggest common factor number is the GCF number.
So the greatest common factor 16149 and 16156 is 7.

Also check out the Least Common Multiple of 16149 and 16156