What is the Greatest Common Factor of 72862 and 72873?

Greatest common factor (GCF) of 72862 and 72873 is 1.

GCF(72862,72873) = 1

We will now calculate the prime factors of 72862 and 72873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72862 and 72873.

How to find the GCF of 72862 and 72873?

We will first find the prime factorization of 72862 and 72873. After we will calculate the factors of 72862 and 72873 and find the biggest common factor number .

Step-1: Prime Factorization of 72862

Prime factors of 72862 are 2, 17, 2143. Prime factorization of 72862 in exponential form is:

72862 = 2¹ × 17¹ × 2143¹

Step-2: Prime Factorization of 72873

Prime factors of 72873 are 3, 2699. Prime factorization of 72873 in exponential form is:

72873 = 3³ × 2699¹

Step-3: Factors of 72862

List of positive integer factors of 72862 that divides 72862 without a remainder.

1, 2, 17, 34, 2143, 4286, 36431

Step-4: Factors of 72873

List of positive integer factors of 72873 that divides 72862 without a remainder.

1, 3, 9, 27, 2699, 8097, 24291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72862 and 72873. The biggest common factor number is the GCF number.
So the greatest common factor 72862 and 72873 is 1.

Also check out the Least Common Multiple of 72862 and 72873