What is the Greatest Common Factor of 38595 and 38610?

Greatest common factor (GCF) of 38595 and 38610 is 15.

GCF(38595,38610) = 15

We will now calculate the prime factors of 38595 and 38610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38595 and 38610.

How to find the GCF of 38595 and 38610?

We will first find the prime factorization of 38595 and 38610. After we will calculate the factors of 38595 and 38610 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38610

Prime factors of 38610 are 2, 3, 5, 11, 13. Prime factorization of 38610 in exponential form is:

38610 = 2¹ × 3³ × 5¹ × 11¹ × 13¹

Step-3: Factors of 38595

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

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

Step-4: Factors of 38610

List of positive integer factors of 38610 that divides 38595 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 13, 15, 18, 22, 26, 27, 30, 33, 39, 45, 54, 55, 65, 66, 78, 90, 99, 110, 117, 130, 135, 143, 165, 195, 198, 234, 270, 286, 297, 330, 351, 390, 429, 495, 585, 594, 702, 715, 858, 990, 1170, 1287, 1430, 1485, 1755, 2145, 2574, 2970, 3510, 3861, 4290, 6435, 7722, 12870, 19305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38595 and 38610. The biggest common factor number is the GCF number.
So the greatest common factor 38595 and 38610 is 15.

Also check out the Least Common Multiple of 38595 and 38610