Greatest Common Factor of 19 and 23

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

• Greatest Common Factor of 19 and 23 by prime factorization method
• Greatest Common Factor of 19 and 23 by matching factors method

Prime Factorization of 19

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

19 = 19¹

Prime Factorization of 23

Prime factors of 23 are 23.Prime factorization of 23 in exponential form is:

23 = 23¹

∴ So by taking common prime factors GCF of 19 and 23 is 1

Factors of 19

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

1,19

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors and prime factorization of 19 and 23. The biggest common factor number is the GCF number.
So the greatest common factor 19 and 23 is 1.

Also check out the Least Common Multiple of 19 and 23

(i) The GCF of 19 and 23 is associative

GCF of 19 and 23 = GCF of 23 and 19

1. What is the GCF of 19 and 23?

Answer: GCF of 19 and 23 is 1.

2. 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.

3. What are the Factors of 23?

Answer: Factors of 23 are 1, 23. There are 2 integers that are factors of 23. The greatest factor of 23 is 23.

4. How to Find the GCF of 19 and 23?

Answer:

Greatest Common Factor of 19 and 23 = 1

Step 1: Find the prime factorization of 19

19 = 19

Step 2: Find the prime factorization of 23

23 = 23

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 19 and 23 is 1