What is the Greatest Common Factor of 38345 and 38364?

Greatest common factor (GCF) of 38345 and 38364 is 1.

GCF(38345,38364) = 1

We will now calculate the prime factors of 38345 and 38364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38345 and 38364.

How to find the GCF of 38345 and 38364?

We will first find the prime factorization of 38345 and 38364. After we will calculate the factors of 38345 and 38364 and find the biggest common factor number .

Step-1: Prime Factorization of 38345

Prime factors of 38345 are 5, 7669. Prime factorization of 38345 in exponential form is:

38345 = 5¹ × 7669¹

Step-2: Prime Factorization of 38364

Prime factors of 38364 are 2, 3, 23, 139. Prime factorization of 38364 in exponential form is:

38364 = 2² × 3¹ × 23¹ × 139¹

Step-3: Factors of 38345

List of positive integer factors of 38345 that divides 38345 without a remainder.

1, 5, 7669

Step-4: Factors of 38364

List of positive integer factors of 38364 that divides 38345 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 139, 276, 278, 417, 556, 834, 1668, 3197, 6394, 9591, 12788, 19182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38345 and 38364. The biggest common factor number is the GCF number.
So the greatest common factor 38345 and 38364 is 1.

Also check out the Least Common Multiple of 38345 and 38364