What is the Greatest Common Factor of 38130 and 38145?

Greatest common factor (GCF) of 38130 and 38145 is 15.

GCF(38130,38145) = 15

We will now calculate the prime factors of 38130 and 38145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38130 and 38145.

How to find the GCF of 38130 and 38145?

We will first find the prime factorization of 38130 and 38145. After we will calculate the factors of 38130 and 38145 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 38145

Prime factors of 38145 are 3, 5, 2543. Prime factorization of 38145 in exponential form is:

38145 = 3¹ × 5¹ × 2543¹

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 38145

List of positive integer factors of 38145 that divides 38130 without a remainder.

1, 3, 5, 15, 2543, 7629, 12715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38130 and 38145. The biggest common factor number is the GCF number.
So the greatest common factor 38130 and 38145 is 15.

Also check out the Least Common Multiple of 38130 and 38145