What is the Greatest Common Factor of 38605 and 38610?

Greatest common factor (GCF) of 38605 and 38610 is 5.

GCF(38605,38610) = 5

We will now calculate the prime factors of 38605 and 38610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38605 and 38610.

How to find the GCF of 38605 and 38610?

We will first find the prime factorization of 38605 and 38610. After we will calculate the factors of 38605 and 38610 and find the biggest common factor number .

Step-1: Prime Factorization of 38605

Prime factors of 38605 are 5, 7, 1103. Prime factorization of 38605 in exponential form is:

38605 = 5¹ × 7¹ × 1103¹

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 38605

List of positive integer factors of 38605 that divides 38605 without a remainder.

1, 5, 7, 35, 1103, 5515, 7721

Step-4: Factors of 38610

List of positive integer factors of 38610 that divides 38605 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 38605 and 38610. The biggest common factor number is the GCF number.
So the greatest common factor 38605 and 38610 is 5.

Also check out the Least Common Multiple of 38605 and 38610