Greatest Common Factor of 809 and 815

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

• Greatest Common Factor of 809 and 815 by prime factorization method
• Greatest Common Factor of 809 and 815 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 815

Prime factors of 815 are 5.Prime factorization of 815 in exponential form is:

815 = 5¹×163¹

∴ So by taking common prime factors GCF of 809 and 815 is 1

Factors of 809

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

1,809

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors and prime factorization of 809 and 815. The biggest common factor number is the GCF number.
So the greatest common factor 809 and 815 is 1.

Also check out the Least Common Multiple of 809 and 815

(i) The GCF of 809 and 815 is associative

GCF of 809 and 815 = GCF of 815 and 809

1. What is the GCF of 809 and 815?

Answer: GCF of 809 and 815 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 815?

Answer: Factors of 815 are 1, 5, 163, 815. There are 4 integers that are factors of 815. The greatest factor of 815 is 815.

4. How to Find the GCF of 809 and 815?

Answer:

Greatest Common Factor of 809 and 815 = 1

Step 1: Find the prime factorization of 809

809 = 809

Step 2: Find the prime factorization of 815

815 = 5 x 163

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 815 is 1