What is the Greatest Common Factor of 12 and 19?

Greatest common factor (GCF) of 12 and 19 is 1.

GCF(12,19) = 1

We will now calculate the prime factors of 12 and 19, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12 and 19.

How to find the GCF of 12 and 19?

We will first find the prime factorization of 12 and 19. After we will calculate the factors of 12 and 19 and find the biggest common factor number .

Step-1: Prime Factorization of 12

Prime factors of 12 are 2, 3. Prime factorization of 12 in exponential form is:

12 = 2² × 3¹

Step-2: Prime Factorization of 19

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

19 = 19¹

Step-3: Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6

Step-4: Factors of 19

List of positive integer factors of 19 that divides 12 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12 and 19. The biggest common factor number is the GCF number.
So the greatest common factor 12 and 19 is 1.

Also check out the Least Common Multiple of 12 and 19