What is the Greatest Common Factor of 38610 and 38628?

Greatest common factor (GCF) of 38610 and 38628 is 18.

GCF(38610,38628) = 18

We will now calculate the prime factors of 38610 and 38628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38610 and 38628.

How to find the GCF of 38610 and 38628?

We will first find the prime factorization of 38610 and 38628. After we will calculate the factors of 38610 and 38628 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 38628

Prime factors of 38628 are 2, 3, 29, 37. Prime factorization of 38628 in exponential form is:

38628 = 2² × 3² × 29¹ × 37¹

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 38628

List of positive integer factors of 38628 that divides 38610 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 37, 58, 74, 87, 111, 116, 148, 174, 222, 261, 333, 348, 444, 522, 666, 1044, 1073, 1332, 2146, 3219, 4292, 6438, 9657, 12876, 19314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38610 and 38628. The biggest common factor number is the GCF number.
So the greatest common factor 38610 and 38628 is 18.

Also check out the Least Common Multiple of 38610 and 38628