What is the Greatest Common Factor of 38307 and 38316?

Greatest common factor (GCF) of 38307 and 38316 is 3.

GCF(38307,38316) = 3

We will now calculate the prime factors of 38307 and 38316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38307 and 38316.

How to find the GCF of 38307 and 38316?

We will first find the prime factorization of 38307 and 38316. After we will calculate the factors of 38307 and 38316 and find the biggest common factor number .

Step-1: Prime Factorization of 38307

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

38307 = 3¹ × 113²

Step-2: Prime Factorization of 38316

Prime factors of 38316 are 2, 3, 31, 103. Prime factorization of 38316 in exponential form is:

38316 = 2² × 3¹ × 31¹ × 103¹

Step-3: Factors of 38307

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

1, 3, 113, 339, 12769

Step-4: Factors of 38316

List of positive integer factors of 38316 that divides 38307 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 103, 124, 186, 206, 309, 372, 412, 618, 1236, 3193, 6386, 9579, 12772, 19158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38307 and 38316. The biggest common factor number is the GCF number.
So the greatest common factor 38307 and 38316 is 3.

Also check out the Least Common Multiple of 38307 and 38316