What is the Greatest Common Factor of 38580 and 38595?

Greatest common factor (GCF) of 38580 and 38595 is 15.

GCF(38580,38595) = 15

We will now calculate the prime factors of 38580 and 38595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38580 and 38595.

How to find the GCF of 38580 and 38595?

We will first find the prime factorization of 38580 and 38595. After we will calculate the factors of 38580 and 38595 and find the biggest common factor number .

Step-1: Prime Factorization of 38580

Prime factors of 38580 are 2, 3, 5, 643. Prime factorization of 38580 in exponential form is:

38580 = 2² × 3¹ × 5¹ × 643¹

Step-2: Prime Factorization of 38595

Prime factors of 38595 are 3, 5, 31, 83. Prime factorization of 38595 in exponential form is:

38595 = 3¹ × 5¹ × 31¹ × 83¹

Step-3: Factors of 38580

List of positive integer factors of 38580 that divides 38580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 643, 1286, 1929, 2572, 3215, 3858, 6430, 7716, 9645, 12860, 19290

Step-4: Factors of 38595

List of positive integer factors of 38595 that divides 38580 without a remainder.

1, 3, 5, 15, 31, 83, 93, 155, 249, 415, 465, 1245, 2573, 7719, 12865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38580 and 38595. The biggest common factor number is the GCF number.
So the greatest common factor 38580 and 38595 is 15.

Also check out the Least Common Multiple of 38580 and 38595