What is the Greatest Common Factor of 72024 and 72036?

Greatest common factor (GCF) of 72024 and 72036 is 12.

GCF(72024,72036) = 12

We will now calculate the prime factors of 72024 and 72036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72024 and 72036.

How to find the GCF of 72024 and 72036?

We will first find the prime factorization of 72024 and 72036. After we will calculate the factors of 72024 and 72036 and find the biggest common factor number .

Step-1: Prime Factorization of 72024

Prime factors of 72024 are 2, 3, 3001. Prime factorization of 72024 in exponential form is:

72024 = 2³ × 3¹ × 3001¹

Step-2: Prime Factorization of 72036

Prime factors of 72036 are 2, 3, 23, 29. Prime factorization of 72036 in exponential form is:

72036 = 2² × 3³ × 23¹ × 29¹

Step-3: Factors of 72024

List of positive integer factors of 72024 that divides 72024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3001, 6002, 9003, 12004, 18006, 24008, 36012

Step-4: Factors of 72036

List of positive integer factors of 72036 that divides 72024 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 29, 36, 46, 54, 58, 69, 87, 92, 108, 116, 138, 174, 207, 261, 276, 348, 414, 522, 621, 667, 783, 828, 1044, 1242, 1334, 1566, 2001, 2484, 2668, 3132, 4002, 6003, 8004, 12006, 18009, 24012, 36018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72024 and 72036. The biggest common factor number is the GCF number.
So the greatest common factor 72024 and 72036 is 12.

Also check out the Least Common Multiple of 72024 and 72036