What is the Greatest Common Factor of 72024 and 72041?

Greatest common factor (GCF) of 72024 and 72041 is 1.

GCF(72024,72041) = 1

We will now calculate the prime factors of 72024 and 72041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72024 and 72041.

How to find the GCF of 72024 and 72041?

We will first find the prime factorization of 72024 and 72041. After we will calculate the factors of 72024 and 72041 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 72041

Prime factors of 72041 are 61, 1181. Prime factorization of 72041 in exponential form is:

72041 = 61¹ × 1181¹

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 72041

List of positive integer factors of 72041 that divides 72024 without a remainder.

1, 61, 1181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72024 and 72041. The biggest common factor number is the GCF number.
So the greatest common factor 72024 and 72041 is 1.

Also check out the Least Common Multiple of 72024 and 72041