Greatest Common Factor of 14 and 19

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 14, 19 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14 and 19 is 1.

GCF(14,19) = 1

GCF of 14 and 19

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 14 and 19 by Prime factorization method

Prime Factorization of 14


2 14
7 7
1

Prime factors of 14 are 2,7. Prime factorization of 14 in exponential form is:

14 = 21×71

Prime Factorization of 19


19 19
1

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

19 = 191

∴ So by taking common prime factors GCF of 14 and 19 is 1

Greatest Common Factor of 14 and 19 by matching factors method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 19

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

1,19

Greatest Common Factor

We found the factors and prime factorization of 14 and 19. The biggest common factor number is the GCF number.
So the greatest common factor 14 and 19 is 1.

Also check out the Least Common Multiple of 14 and 19

Properties of GCF 14 and 19

(i) The GCF of 14 and 19 is associative

GCF of 14 and 19 = GCF of 19 and 14

Frequently Asked Questions on GCF of 14 and 19

1. What is the GCF of 14 and 19?

Answer: GCF of 14 and 19 is 1.

2. What are the Factors of 14?

Answer: Factors of 14 are 1, 2, 7, 14. There are 4 integers that are factors of 14. The greatest factor of 14 is 14.

3. What are the Factors of 19?

Answer: Factors of 19 are 1, 19. There are 2 integers that are factors of 19. The greatest factor of 19 is 19.

4. How to Find the GCF of 14 and 19?

Answer:

Greatest Common Factor of 14 and 19 = 1

Step 1: Find the prime factorization of 14

14 = 2 x 7

Step 2: Find the prime factorization of 19

19 = 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 14 and 19 is 1