What is the Greatest Common Factor of 38085 and 38091?

Greatest common factor (GCF) of 38085 and 38091 is 3.

GCF(38085,38091) = 3

We will now calculate the prime factors of 38085 and 38091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38085 and 38091.

How to find the GCF of 38085 and 38091?

We will first find the prime factorization of 38085 and 38091. After we will calculate the factors of 38085 and 38091 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 38091

Prime factors of 38091 are 3, 12697. Prime factorization of 38091 in exponential form is:

38091 = 3¹ × 12697¹

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 38091

List of positive integer factors of 38091 that divides 38085 without a remainder.

1, 3, 12697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38085 and 38091. The biggest common factor number is the GCF number.
So the greatest common factor 38085 and 38091 is 3.

Also check out the Least Common Multiple of 38085 and 38091