Greatest Common Factor of 8815 and 8821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8815, 8821 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8815 and 8821 is 1.

GCF(8815,8821) = 1

GCF of 8815 and 8821

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

GCF of:
and

Greatest Common Factor of 8815 and 8821

GCF of 8815 and 8821 is 1

Prime Factorization of 8815


5 8815
41 1763
43 43
1

Prime factors of 8815 are 5,41,43. Prime factorization of 8815 in exponential form is:

8815 = 51×411×431

Prime Factorization of 8821


8821 8821
1

Prime factors of 8821 are 8821. Prime factorization of 8821 in exponential form is:

8821 = 88211

∴ So by taking common prime factors GCF of 8815 and 8821 is 1

Greatest Common Factor of 8815 and 8821 by matching factors method

Factors of 8815

List of positive integer factors of 8815 that divides 8815 without a remainder.

1,5,41,43,205,215,1763,8815

Factors of 8821

List of positive integer factors of 8821 that divides 8821 without a remainder.

1,8821

Greatest Common Factor

We found the factors and prime factorization of 8815 and 8821. The biggest common factor number is the GCF number.
So the greatest common factor 8815 and 8821 is 1.

Also check out the Least Common Multiple of 8815 and 8821

Properties of GCF 8815 and 8821

(i) The GCF of 8815 and 8821 is associative

GCF of 8815 and 8821 = GCF of 8821 and 8815

Frequently Asked Questions on GCF of 8815 and 8821

1. What is the GCF of 8815 and 8821?

Answer: GCF of 8815 and 8821 is 1.

2. What are the Factors of 8815?

Answer: Factors of 8815 are 1, 5, 41, 43, 205, 215, 1763, 8815. There are 8 integers that are factors of 8815. The greatest factor of 8815 is 8815.

3. What are the Factors of 8821?

Answer: Factors of 8821 are 1, 8821. There are 2 integers that are factors of 8821. The greatest factor of 8821 is 8821.

4. How to Find the GCF of 8815 and 8821?

Answer:

Greatest Common Factor of 8815 and 8821 = 1

Step 1: Find the prime factorization of 8815

8815 = 5 x 41 x 43

Step 2: Find the prime factorization of 8821

8821 = 8821

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 8815 and 8821 is 1