What is the Greatest Common Factor of 16072 and 16085?

Greatest common factor (GCF) of 16072 and 16085 is 1.

GCF(16072,16085) = 1

We will now calculate the prime factors of 16072 and 16085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16072 and 16085.

How to find the GCF of 16072 and 16085?

We will first find the prime factorization of 16072 and 16085. After we will calculate the factors of 16072 and 16085 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 16085

Prime factors of 16085 are 5, 3217. Prime factorization of 16085 in exponential form is:

16085 = 5¹ × 3217¹

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 16085

List of positive integer factors of 16085 that divides 16072 without a remainder.

1, 5, 3217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16072 and 16085. The biggest common factor number is the GCF number.
So the greatest common factor 16072 and 16085 is 1.

Also check out the Least Common Multiple of 16072 and 16085