What is the Greatest Common Factor of 16044 and 16051?

Greatest common factor (GCF) of 16044 and 16051 is 7.

GCF(16044,16051) = 7

We will now calculate the prime factors of 16044 and 16051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16044 and 16051.

How to find the GCF of 16044 and 16051?

We will first find the prime factorization of 16044 and 16051. After we will calculate the factors of 16044 and 16051 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 16051

Prime factors of 16051 are 7, 2293. Prime factorization of 16051 in exponential form is:

16051 = 7¹ × 2293¹

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 16051

List of positive integer factors of 16051 that divides 16044 without a remainder.

1, 7, 2293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16044 and 16051. The biggest common factor number is the GCF number.
So the greatest common factor 16044 and 16051 is 7.

Also check out the Least Common Multiple of 16044 and 16051