What is the Greatest Common Factor of 38085 and 38101?

Greatest common factor (GCF) of 38085 and 38101 is 1.

GCF(38085,38101) = 1

We will now calculate the prime factors of 38085 and 38101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38085 and 38101.

How to find the GCF of 38085 and 38101?

We will first find the prime factorization of 38085 and 38101. After we will calculate the factors of 38085 and 38101 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 38101

Prime factors of 38101 are 7, 5443. Prime factorization of 38101 in exponential form is:

38101 = 7¹ × 5443¹

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 38101

List of positive integer factors of 38101 that divides 38085 without a remainder.

1, 7, 5443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38085 and 38101. The biggest common factor number is the GCF number.
So the greatest common factor 38085 and 38101 is 1.

Also check out the Least Common Multiple of 38085 and 38101