What is the Greatest Common Factor of 3 and 38?

Greatest common factor (GCF) of 3 and 38 is 1.

GCF(3,38) = 1

We will now calculate the prime factors of 3 and 38, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3 and 38.

How to find the GCF of 3 and 38?

We will first find the prime factorization of 3 and 38. After we will calculate the factors of 3 and 38 and find the biggest common factor number .

Step-1: Prime Factorization of 3

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

3 = 3¹

Step-2: Prime Factorization of 38

Prime factors of 38 are 2, 19. Prime factorization of 38 in exponential form is:

38 = 2¹ × 19¹

Step-3: Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

Step-4: Factors of 38

List of positive integer factors of 38 that divides 3 without a remainder.

1, 2, 19

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3 and 38. The biggest common factor number is the GCF number.
So the greatest common factor 3 and 38 is 1.

Also check out the Least Common Multiple of 3 and 38