What is the Greatest Common Factor of 16072 and 16087?

Greatest common factor (GCF) of 16072 and 16087 is 1.

GCF(16072,16087) = 1

We will now calculate the prime factors of 16072 and 16087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16072 and 16087.

How to find the GCF of 16072 and 16087?

We will first find the prime factorization of 16072 and 16087. After we will calculate the factors of 16072 and 16087 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 16087

Prime factors of 16087 are 16087. Prime factorization of 16087 in exponential form is:

16087 = 16087¹

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 16087

List of positive integer factors of 16087 that divides 16072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16072 and 16087. The biggest common factor number is the GCF number.
So the greatest common factor 16072 and 16087 is 1.

Also check out the Least Common Multiple of 16072 and 16087