What is the Greatest Common Factor of 38730 and 38745?

Greatest common factor (GCF) of 38730 and 38745 is 15.

GCF(38730,38745) = 15

We will now calculate the prime factors of 38730 and 38745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38730 and 38745.

How to find the GCF of 38730 and 38745?

We will first find the prime factorization of 38730 and 38745. After we will calculate the factors of 38730 and 38745 and find the biggest common factor number .

Step-1: Prime Factorization of 38730

Prime factors of 38730 are 2, 3, 5, 1291. Prime factorization of 38730 in exponential form is:

38730 = 2¹ × 3¹ × 5¹ × 1291¹

Step-2: Prime Factorization of 38745

Prime factors of 38745 are 3, 5, 7, 41. Prime factorization of 38745 in exponential form is:

38745 = 3³ × 5¹ × 7¹ × 41¹

Step-3: Factors of 38730

List of positive integer factors of 38730 that divides 38730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1291, 2582, 3873, 6455, 7746, 12910, 19365

Step-4: Factors of 38745

List of positive integer factors of 38745 that divides 38730 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 41, 45, 63, 105, 123, 135, 189, 205, 287, 315, 369, 615, 861, 945, 1107, 1435, 1845, 2583, 4305, 5535, 7749, 12915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38730 and 38745. The biggest common factor number is the GCF number.
So the greatest common factor 38730 and 38745 is 15.

Also check out the Least Common Multiple of 38730 and 38745