What is the Greatest Common Factor of 38130 and 38146?

Greatest common factor (GCF) of 38130 and 38146 is 2.

GCF(38130,38146) = 2

We will now calculate the prime factors of 38130 and 38146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38130 and 38146.

How to find the GCF of 38130 and 38146?

We will first find the prime factorization of 38130 and 38146. After we will calculate the factors of 38130 and 38146 and find the biggest common factor number .

Step-1: Prime Factorization of 38130

Prime factors of 38130 are 2, 3, 5, 31, 41. Prime factorization of 38130 in exponential form is:

38130 = 2¹ × 3¹ × 5¹ × 31¹ × 41¹

Step-2: Prime Factorization of 38146

Prime factors of 38146 are 2, 19073. Prime factorization of 38146 in exponential form is:

38146 = 2¹ × 19073¹

Step-3: Factors of 38130

List of positive integer factors of 38130 that divides 38130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 41, 62, 82, 93, 123, 155, 186, 205, 246, 310, 410, 465, 615, 930, 1230, 1271, 2542, 3813, 6355, 7626, 12710, 19065

Step-4: Factors of 38146

List of positive integer factors of 38146 that divides 38130 without a remainder.

1, 2, 19073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38130 and 38146. The biggest common factor number is the GCF number.
So the greatest common factor 38130 and 38146 is 2.

Also check out the Least Common Multiple of 38130 and 38146