What is the Greatest Common Factor of 72024 and 72038?

Greatest common factor (GCF) of 72024 and 72038 is 2.

GCF(72024,72038) = 2

We will now calculate the prime factors of 72024 and 72038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72024 and 72038.

How to find the GCF of 72024 and 72038?

We will first find the prime factorization of 72024 and 72038. After we will calculate the factors of 72024 and 72038 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 72038

Prime factors of 72038 are 2, 181, 199. Prime factorization of 72038 in exponential form is:

72038 = 2¹ × 181¹ × 199¹

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 72038

List of positive integer factors of 72038 that divides 72024 without a remainder.

1, 2, 181, 199, 362, 398, 36019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72024 and 72038. The biggest common factor number is the GCF number.
So the greatest common factor 72024 and 72038 is 2.

Also check out the Least Common Multiple of 72024 and 72038