What is the Greatest Common Factor of 32016 and 32027?

Greatest common factor (GCF) of 32016 and 32027 is 1.

GCF(32016,32027) = 1

We will now calculate the prime factors of 32016 and 32027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32016 and 32027.

How to find the GCF of 32016 and 32027?

We will first find the prime factorization of 32016 and 32027. After we will calculate the factors of 32016 and 32027 and find the biggest common factor number .

Step-1: Prime Factorization of 32016

Prime factors of 32016 are 2, 3, 23, 29. Prime factorization of 32016 in exponential form is:

32016 = 2⁴ × 3¹ × 23¹ × 29¹

Step-2: Prime Factorization of 32027

Prime factors of 32027 are 32027. Prime factorization of 32027 in exponential form is:

32027 = 32027¹

Step-3: Factors of 32016

List of positive integer factors of 32016 that divides 32016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 29, 46, 48, 58, 69, 87, 92, 116, 138, 174, 184, 232, 276, 348, 368, 464, 552, 667, 696, 1104, 1334, 1392, 2001, 2668, 4002, 5336, 8004, 10672, 16008

Step-4: Factors of 32027

List of positive integer factors of 32027 that divides 32016 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32016 and 32027. The biggest common factor number is the GCF number.
So the greatest common factor 32016 and 32027 is 1.

Also check out the Least Common Multiple of 32016 and 32027