What is the Greatest Common Factor of 38367 and 38385?

Greatest common factor (GCF) of 38367 and 38385 is 9.

GCF(38367,38385) = 9

We will now calculate the prime factors of 38367 and 38385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38367 and 38385.

How to find the GCF of 38367 and 38385?

We will first find the prime factorization of 38367 and 38385. After we will calculate the factors of 38367 and 38385 and find the biggest common factor number .

Step-1: Prime Factorization of 38367

Prime factors of 38367 are 3, 7, 29. Prime factorization of 38367 in exponential form is:

38367 = 3³ × 7² × 29¹

Step-2: Prime Factorization of 38385

Prime factors of 38385 are 3, 5, 853. Prime factorization of 38385 in exponential form is:

38385 = 3² × 5¹ × 853¹

Step-3: Factors of 38367

List of positive integer factors of 38367 that divides 38367 without a remainder.

1, 3, 7, 9, 21, 27, 29, 49, 63, 87, 147, 189, 203, 261, 441, 609, 783, 1323, 1421, 1827, 4263, 5481, 12789

Step-4: Factors of 38385

List of positive integer factors of 38385 that divides 38367 without a remainder.

1, 3, 5, 9, 15, 45, 853, 2559, 4265, 7677, 12795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38367 and 38385. The biggest common factor number is the GCF number.
So the greatest common factor 38367 and 38385 is 9.

Also check out the Least Common Multiple of 38367 and 38385