What is the Greatest Common Factor of 16140 and 16149?

Greatest common factor (GCF) of 16140 and 16149 is 3.

GCF(16140,16149) = 3

We will now calculate the prime factors of 16140 and 16149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16140 and 16149.

How to find the GCF of 16140 and 16149?

We will first find the prime factorization of 16140 and 16149. After we will calculate the factors of 16140 and 16149 and find the biggest common factor number .

Step-1: Prime Factorization of 16140

Prime factors of 16140 are 2, 3, 5, 269. Prime factorization of 16140 in exponential form is:

16140 = 2² × 3¹ × 5¹ × 269¹

Step-2: 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-3: Factors of 16140

List of positive integer factors of 16140 that divides 16140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 269, 538, 807, 1076, 1345, 1614, 2690, 3228, 4035, 5380, 8070

Step-4: Factors of 16149

List of positive integer factors of 16149 that divides 16140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16140 and 16149. The biggest common factor number is the GCF number.
So the greatest common factor 16140 and 16149 is 3.

Also check out the Least Common Multiple of 16140 and 16149