What is the Greatest Common Factor of 72259 and 72273?

Greatest common factor (GCF) of 72259 and 72273 is 1.

GCF(72259,72273) = 1

We will now calculate the prime factors of 72259 and 72273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72259 and 72273.

How to find the GCF of 72259 and 72273?

We will first find the prime factorization of 72259 and 72273. After we will calculate the factors of 72259 and 72273 and find the biggest common factor number .

Step-1: Prime Factorization of 72259

Prime factors of 72259 are 11, 6569. Prime factorization of 72259 in exponential form is:

72259 = 11¹ × 6569¹

Step-2: Prime Factorization of 72273

Prime factors of 72273 are 3, 24091. Prime factorization of 72273 in exponential form is:

72273 = 3¹ × 24091¹

Step-3: Factors of 72259

List of positive integer factors of 72259 that divides 72259 without a remainder.

1, 11, 6569

Step-4: Factors of 72273

List of positive integer factors of 72273 that divides 72259 without a remainder.

1, 3, 24091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72259 and 72273. The biggest common factor number is the GCF number.
So the greatest common factor 72259 and 72273 is 1.

Also check out the Least Common Multiple of 72259 and 72273