Greatest Common Factor of 817 and 821

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

• Greatest Common Factor of 817 and 821 by prime factorization method
• Greatest Common Factor of 817 and 821 by matching factors method

Prime Factorization of 817

Prime factors of 817 are 19,43. Prime factorization of 817 in exponential form is:

817 = 19¹×43¹

Prime Factorization of 821

Prime factors of 821 are 821. Prime factorization of 821 in exponential form is:

821 = 821¹

∴ So by taking common prime factors GCF of 817 and 821 is 1

Factors of 817

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

1,19,43,817

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors and prime factorization of 817 and 821. The biggest common factor number is the GCF number.
So the greatest common factor 817 and 821 is 1.

Also check out the Least Common Multiple of 817 and 821

(i) The GCF of 817 and 821 is associative

GCF of 817 and 821 = GCF of 821 and 817

1. What is the GCF of 817 and 821?

Answer: GCF of 817 and 821 is 1.

2. 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.

3. What are the Factors of 821?

Answer: Factors of 821 are 1, 821. There are 2 integers that are factors of 821. The greatest factor of 821 is 821.

4. How to Find the GCF of 817 and 821?

Answer:

Greatest Common Factor of 817 and 821 = 1

Step 1: Find the prime factorization of 817

817 = 19 x 43

Step 2: Find the prime factorization of 821

821 = 821

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 817 and 821 is 1