What is the Greatest Common Factor of 36018 and 36033?

Greatest common factor (GCF) of 36018 and 36033 is 3.

GCF(36018,36033) = 3

We will now calculate the prime factors of 36018 and 36033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36018 and 36033.

How to find the GCF of 36018 and 36033?

We will first find the prime factorization of 36018 and 36033. After we will calculate the factors of 36018 and 36033 and find the biggest common factor number .

Step-1: Prime Factorization of 36018

Prime factors of 36018 are 2, 3, 23, 29. Prime factorization of 36018 in exponential form is:

36018 = 2¹ × 3³ × 23¹ × 29¹

Step-2: Prime Factorization of 36033

Prime factors of 36033 are 3, 12011. Prime factorization of 36033 in exponential form is:

36033 = 3¹ × 12011¹

Step-3: Factors of 36018

List of positive integer factors of 36018 that divides 36018 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 29, 46, 54, 58, 69, 87, 138, 174, 207, 261, 414, 522, 621, 667, 783, 1242, 1334, 1566, 2001, 4002, 6003, 12006, 18009

Step-4: Factors of 36033

List of positive integer factors of 36033 that divides 36018 without a remainder.

1, 3, 12011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36018 and 36033. The biggest common factor number is the GCF number.
So the greatest common factor 36018 and 36033 is 3.

Also check out the Least Common Multiple of 36018 and 36033