What is the Greatest Common Factor of 38610 and 38614?

Greatest common factor (GCF) of 38610 and 38614 is 2.

GCF(38610,38614) = 2

We will now calculate the prime factors of 38610 and 38614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38610 and 38614.

How to find the GCF of 38610 and 38614?

We will first find the prime factorization of 38610 and 38614. After we will calculate the factors of 38610 and 38614 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 38614

Prime factors of 38614 are 2, 43, 449. Prime factorization of 38614 in exponential form is:

38614 = 2¹ × 43¹ × 449¹

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 38614

List of positive integer factors of 38614 that divides 38610 without a remainder.

1, 2, 43, 86, 449, 898, 19307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38610 and 38614. The biggest common factor number is the GCF number.
So the greatest common factor 38610 and 38614 is 2.

Also check out the Least Common Multiple of 38610 and 38614