What is the Greatest Common Factor of 16072 and 16089?

Greatest common factor (GCF) of 16072 and 16089 is 1.

GCF(16072,16089) = 1

We will now calculate the prime factors of 16072 and 16089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16072 and 16089.

How to find the GCF of 16072 and 16089?

We will first find the prime factorization of 16072 and 16089. After we will calculate the factors of 16072 and 16089 and find the biggest common factor number .

Step-1: Prime Factorization of 16072

Prime factors of 16072 are 2, 7, 41. Prime factorization of 16072 in exponential form is:

16072 = 2³ × 7² × 41¹

Step-2: Prime Factorization of 16089

Prime factors of 16089 are 3, 31, 173. Prime factorization of 16089 in exponential form is:

16089 = 3¹ × 31¹ × 173¹

Step-3: Factors of 16072

List of positive integer factors of 16072 that divides 16072 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 49, 56, 82, 98, 164, 196, 287, 328, 392, 574, 1148, 2009, 2296, 4018, 8036

Step-4: Factors of 16089

List of positive integer factors of 16089 that divides 16072 without a remainder.

1, 3, 31, 93, 173, 519, 5363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16072 and 16089. The biggest common factor number is the GCF number.
So the greatest common factor 16072 and 16089 is 1.

Also check out the Least Common Multiple of 16072 and 16089