What is the Greatest Common Factor of 38604 and 38610?

Greatest common factor (GCF) of 38604 and 38610 is 6.

GCF(38604,38610) = 6

We will now calculate the prime factors of 38604 and 38610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38604 and 38610.

How to find the GCF of 38604 and 38610?

We will first find the prime factorization of 38604 and 38610. After we will calculate the factors of 38604 and 38610 and find the biggest common factor number .

Step-1: Prime Factorization of 38604

Prime factors of 38604 are 2, 3, 3217. Prime factorization of 38604 in exponential form is:

38604 = 2² × 3¹ × 3217¹

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 38604

List of positive integer factors of 38604 that divides 38604 without a remainder.

1, 2, 3, 4, 6, 12, 3217, 6434, 9651, 12868, 19302

Step-4: Factors of 38610

List of positive integer factors of 38610 that divides 38604 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 38604 and 38610. The biggest common factor number is the GCF number.
So the greatest common factor 38604 and 38610 is 6.

Also check out the Least Common Multiple of 38604 and 38610