What is the Greatest Common Factor of 38295 and 38303?

Greatest common factor (GCF) of 38295 and 38303 is 1.

GCF(38295,38303) = 1

We will now calculate the prime factors of 38295 and 38303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38295 and 38303.

How to find the GCF of 38295 and 38303?

We will first find the prime factorization of 38295 and 38303. After we will calculate the factors of 38295 and 38303 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 38303

Prime factors of 38303 are 38303. Prime factorization of 38303 in exponential form is:

38303 = 38303¹

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 38303

List of positive integer factors of 38303 that divides 38295 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38295 and 38303. The biggest common factor number is the GCF number.
So the greatest common factor 38295 and 38303 is 1.

Also check out the Least Common Multiple of 38295 and 38303