What is the Greatest Common Factor of 38085 and 38093?

Greatest common factor (GCF) of 38085 and 38093 is 1.

GCF(38085,38093) = 1

We will now calculate the prime factors of 38085 and 38093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38085 and 38093.

How to find the GCF of 38085 and 38093?

We will first find the prime factorization of 38085 and 38093. After we will calculate the factors of 38085 and 38093 and find the biggest common factor number .

Step-1: Prime Factorization of 38085

Prime factors of 38085 are 3, 5, 2539. Prime factorization of 38085 in exponential form is:

38085 = 3¹ × 5¹ × 2539¹

Step-2: Prime Factorization of 38093

Prime factors of 38093 are 11, 3463. Prime factorization of 38093 in exponential form is:

38093 = 11¹ × 3463¹

Step-3: Factors of 38085

List of positive integer factors of 38085 that divides 38085 without a remainder.

1, 3, 5, 15, 2539, 7617, 12695

Step-4: Factors of 38093

List of positive integer factors of 38093 that divides 38085 without a remainder.

1, 11, 3463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38085 and 38093. The biggest common factor number is the GCF number.
So the greatest common factor 38085 and 38093 is 1.

Also check out the Least Common Multiple of 38085 and 38093