What is the Greatest Common Factor of 32016 and 32022?

Greatest common factor (GCF) of 32016 and 32022 is 6.

GCF(32016,32022) = 6

We will now calculate the prime factors of 32016 and 32022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32016 and 32022.

How to find the GCF of 32016 and 32022?

We will first find the prime factorization of 32016 and 32022. After we will calculate the factors of 32016 and 32022 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 32022

Prime factors of 32022 are 2, 3, 593. Prime factorization of 32022 in exponential form is:

32022 = 2¹ × 3³ × 593¹

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 32022

List of positive integer factors of 32022 that divides 32016 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 593, 1186, 1779, 3558, 5337, 10674, 16011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32016 and 32022. The biggest common factor number is the GCF number.
So the greatest common factor 32016 and 32022 is 6.

Also check out the Least Common Multiple of 32016 and 32022