What is the Greatest Common Factor of 72436 and 72441?

Greatest common factor (GCF) of 72436 and 72441 is 1.

GCF(72436,72441) = 1

We will now calculate the prime factors of 72436 and 72441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72436 and 72441.

How to find the GCF of 72436 and 72441?

We will first find the prime factorization of 72436 and 72441. After we will calculate the factors of 72436 and 72441 and find the biggest common factor number .

Step-1: Prime Factorization of 72436

Prime factors of 72436 are 2, 7, 13, 199. Prime factorization of 72436 in exponential form is:

72436 = 2² × 7¹ × 13¹ × 199¹

Step-2: Prime Factorization of 72441

Prime factors of 72441 are 3, 2683. Prime factorization of 72441 in exponential form is:

72441 = 3³ × 2683¹

Step-3: Factors of 72436

List of positive integer factors of 72436 that divides 72436 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 199, 364, 398, 796, 1393, 2587, 2786, 5174, 5572, 10348, 18109, 36218

Step-4: Factors of 72441

List of positive integer factors of 72441 that divides 72436 without a remainder.

1, 3, 9, 27, 2683, 8049, 24147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72436 and 72441. The biggest common factor number is the GCF number.
So the greatest common factor 72436 and 72441 is 1.

Also check out the Least Common Multiple of 72436 and 72441