What is the Greatest Common Factor of 38046 and 38063?

Greatest common factor (GCF) of 38046 and 38063 is 17.

GCF(38046,38063) = 17

We will now calculate the prime factors of 38046 and 38063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38046 and 38063.

How to find the GCF of 38046 and 38063?

We will first find the prime factorization of 38046 and 38063. After we will calculate the factors of 38046 and 38063 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 38063

Prime factors of 38063 are 17, 2239. Prime factorization of 38063 in exponential form is:

38063 = 17¹ × 2239¹

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 38063

List of positive integer factors of 38063 that divides 38046 without a remainder.

1, 17, 2239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38046 and 38063. The biggest common factor number is the GCF number.
So the greatest common factor 38046 and 38063 is 17.

Also check out the Least Common Multiple of 38046 and 38063