What is the Greatest Common Factor of 72801 and 72813?

Greatest common factor (GCF) of 72801 and 72813 is 3.

GCF(72801,72813) = 3

We will now calculate the prime factors of 72801 and 72813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72801 and 72813.

How to find the GCF of 72801 and 72813?

We will first find the prime factorization of 72801 and 72813. After we will calculate the factors of 72801 and 72813 and find the biggest common factor number .

Step-1: Prime Factorization of 72801

Prime factors of 72801 are 3, 8089. Prime factorization of 72801 in exponential form is:

72801 = 3² × 8089¹

Step-2: Prime Factorization of 72813

Prime factors of 72813 are 3, 13, 1867. Prime factorization of 72813 in exponential form is:

72813 = 3¹ × 13¹ × 1867¹

Step-3: Factors of 72801

List of positive integer factors of 72801 that divides 72801 without a remainder.

1, 3, 9, 8089, 24267

Step-4: Factors of 72813

List of positive integer factors of 72813 that divides 72801 without a remainder.

1, 3, 13, 39, 1867, 5601, 24271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72801 and 72813. The biggest common factor number is the GCF number.
So the greatest common factor 72801 and 72813 is 3.

Also check out the Least Common Multiple of 72801 and 72813