Greatest Common Factor of 809 and 817

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

• Greatest Common Factor of 809 and 817 by prime factorization method
• Greatest Common Factor of 809 and 817 by matching factors method

Prime Factorization of 809

Prime factors of 809 are 809. Prime factorization of 809 in exponential form is:

809 = 809¹

Prime Factorization of 817

Prime factors of 817 are 19.Prime factorization of 817 in exponential form is:

817 = 19¹×43¹

∴ So by taking common prime factors GCF of 809 and 817 is 1

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors and prime factorization of 809 and 817. The biggest common factor number is the GCF number.
So the greatest common factor 809 and 817 is 1.

Also check out the Least Common Multiple of 809 and 817

(i) The GCF of 809 and 817 is associative

GCF of 809 and 817 = GCF of 817 and 809

1. What is the GCF of 809 and 817?

Answer: GCF of 809 and 817 is 1.

2. What are the Factors of 809?

Answer: Factors of 809 are 1, 809. There are 2 integers that are factors of 809. The greatest factor of 809 is 809.

3. What are the Factors of 817?

Answer: Factors of 817 are 1, 19, 43, 817. There are 4 integers that are factors of 817. The greatest factor of 817 is 817.

4. How to Find the GCF of 809 and 817?

Answer:

Greatest Common Factor of 809 and 817 = 1

Step 1: Find the prime factorization of 809

809 = 809

Step 2: Find the prime factorization of 817

817 = 19 x 43

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 809 and 817 is 1