What is the Greatest Common Factor of 38046 and 38061?

Greatest common factor (GCF) of 38046 and 38061 is 3.

GCF(38046,38061) = 3

We will now calculate the prime factors of 38046 and 38061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38046 and 38061.

How to find the GCF of 38046 and 38061?

We will first find the prime factorization of 38046 and 38061. After we will calculate the factors of 38046 and 38061 and find the biggest common factor number .

Step-1: Prime Factorization of 38046

Prime factors of 38046 are 2, 3, 17, 373. Prime factorization of 38046 in exponential form is:

38046 = 2¹ × 3¹ × 17¹ × 373¹

Step-2: Prime Factorization of 38061

Prime factors of 38061 are 3, 4229. Prime factorization of 38061 in exponential form is:

38061 = 3² × 4229¹

Step-3: Factors of 38046

List of positive integer factors of 38046 that divides 38046 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 373, 746, 1119, 2238, 6341, 12682, 19023

Step-4: Factors of 38061

List of positive integer factors of 38061 that divides 38046 without a remainder.

1, 3, 9, 4229, 12687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38046 and 38061. The biggest common factor number is the GCF number.
So the greatest common factor 38046 and 38061 is 3.

Also check out the Least Common Multiple of 38046 and 38061