What is the Greatest Common Factor of 38610 and 38625?

Greatest common factor (GCF) of 38610 and 38625 is 15.

GCF(38610,38625) = 15

We will now calculate the prime factors of 38610 and 38625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38610 and 38625.

How to find the GCF of 38610 and 38625?

We will first find the prime factorization of 38610 and 38625. After we will calculate the factors of 38610 and 38625 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38625

Prime factors of 38625 are 3, 5, 103. Prime factorization of 38625 in exponential form is:

38625 = 3¹ × 5³ × 103¹

Step-3: Factors of 38610

List of positive integer factors of 38610 that divides 38610 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

Step-4: Factors of 38625

List of positive integer factors of 38625 that divides 38610 without a remainder.

1, 3, 5, 15, 25, 75, 103, 125, 309, 375, 515, 1545, 2575, 7725, 12875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38610 and 38625. The biggest common factor number is the GCF number.
So the greatest common factor 38610 and 38625 is 15.

Also check out the Least Common Multiple of 38610 and 38625