What is the Greatest Common Factor of 16044 and 16049?

Greatest common factor (GCF) of 16044 and 16049 is 1.

GCF(16044,16049) = 1

We will now calculate the prime factors of 16044 and 16049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16044 and 16049.

How to find the GCF of 16044 and 16049?

We will first find the prime factorization of 16044 and 16049. After we will calculate the factors of 16044 and 16049 and find the biggest common factor number .

Step-1: Prime Factorization of 16044

Prime factors of 16044 are 2, 3, 7, 191. Prime factorization of 16044 in exponential form is:

16044 = 2² × 3¹ × 7¹ × 191¹

Step-2: Prime Factorization of 16049

Prime factors of 16049 are 11, 1459. Prime factorization of 16049 in exponential form is:

16049 = 11¹ × 1459¹

Step-3: Factors of 16044

List of positive integer factors of 16044 that divides 16044 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 191, 382, 573, 764, 1146, 1337, 2292, 2674, 4011, 5348, 8022

Step-4: Factors of 16049

List of positive integer factors of 16049 that divides 16044 without a remainder.

1, 11, 1459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16044 and 16049. The biggest common factor number is the GCF number.
So the greatest common factor 16044 and 16049 is 1.

Also check out the Least Common Multiple of 16044 and 16049