What is the Greatest Common Factor of 38295 and 38307?

Greatest common factor (GCF) of 38295 and 38307 is 3.

GCF(38295,38307) = 3

We will now calculate the prime factors of 38295 and 38307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38295 and 38307.

How to find the GCF of 38295 and 38307?

We will first find the prime factorization of 38295 and 38307. After we will calculate the factors of 38295 and 38307 and find the biggest common factor number .

Step-1: Prime Factorization of 38295

Prime factors of 38295 are 3, 5, 23, 37. Prime factorization of 38295 in exponential form is:

38295 = 3² × 5¹ × 23¹ × 37¹

Step-2: Prime Factorization of 38307

Prime factors of 38307 are 3, 113. Prime factorization of 38307 in exponential form is:

38307 = 3¹ × 113²

Step-3: Factors of 38295

List of positive integer factors of 38295 that divides 38295 without a remainder.

1, 3, 5, 9, 15, 23, 37, 45, 69, 111, 115, 185, 207, 333, 345, 555, 851, 1035, 1665, 2553, 4255, 7659, 12765

Step-4: Factors of 38307

List of positive integer factors of 38307 that divides 38295 without a remainder.

1, 3, 113, 339, 12769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38295 and 38307. The biggest common factor number is the GCF number.
So the greatest common factor 38295 and 38307 is 3.

Also check out the Least Common Multiple of 38295 and 38307