Greatest Common Factor of 7 and 19

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

• Greatest Common Factor of 7 and 19 by prime factorization method
• Greatest Common Factor of 7 and 19 by matching factors method

Prime Factorization of 7

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

7 = 7¹

Prime Factorization of 19

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

19 = 19¹

∴ So by taking common prime factors GCF of 7 and 19 is 1

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

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 7 and 19. The biggest common factor number is the GCF number.
So the greatest common factor 7 and 19 is 1.

Also check out the Least Common Multiple of 7 and 19

(i) The GCF of 7 and 19 is associative

GCF of 7 and 19 = GCF of 19 and 7

1. What is the GCF of 7 and 19?

Answer: GCF of 7 and 19 is 1.

2. What are the Factors of 7?

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

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 7 and 19?

Answer:

Greatest Common Factor of 7 and 19 = 1

Step 1: Find the prime factorization of 7

7 = 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 7 and 19 is 1