What is the Greatest Common Factor of 72085 and 72093?

Greatest common factor (GCF) of 72085 and 72093 is 1.

GCF(72085,72093) = 1

We will now calculate the prime factors of 72085 and 72093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72085 and 72093.

How to find the GCF of 72085 and 72093?

We will first find the prime factorization of 72085 and 72093. After we will calculate the factors of 72085 and 72093 and find the biggest common factor number .

Step-1: Prime Factorization of 72085

Prime factors of 72085 are 5, 13, 1109. Prime factorization of 72085 in exponential form is:

72085 = 5¹ × 13¹ × 1109¹

Step-2: Prime Factorization of 72093

Prime factors of 72093 are 3, 7, 3433. Prime factorization of 72093 in exponential form is:

72093 = 3¹ × 7¹ × 3433¹

Step-3: Factors of 72085

List of positive integer factors of 72085 that divides 72085 without a remainder.

1, 5, 13, 65, 1109, 5545, 14417

Step-4: Factors of 72093

List of positive integer factors of 72093 that divides 72085 without a remainder.

1, 3, 7, 21, 3433, 10299, 24031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72085 and 72093. The biggest common factor number is the GCF number.
So the greatest common factor 72085 and 72093 is 1.

Also check out the Least Common Multiple of 72085 and 72093