Greatest Common Factor of 8802 and 8809

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 8802, 8809 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8802 and 8809 is 1.

GCF(8802,8809) = 1

GCF of 8802 and 8809

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

GCF of:
and

Greatest Common Factor of 8802 and 8809

GCF of 8802 and 8809 is 1

Prime Factorization of 8802


2 8802
3 4401
3 1467
3 489
163 163
1

Prime factors of 8802 are 2,3,163. Prime factorization of 8802 in exponential form is:

8802 = 21×33×1631

Prime Factorization of 8809


23 8809
383 383
1

Prime factors of 8809 are 23,383. Prime factorization of 8809 in exponential form is:

8809 = 231×3831

∴ So by taking common prime factors GCF of 8802 and 8809 is 1

Greatest Common Factor of 8802 and 8809 by matching factors method

Factors of 8802

List of positive integer factors of 8802 that divides 8802 without a remainder.

1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802

Factors of 8809

List of positive integer factors of 8809 that divides 8809 without a remainder.

1,23,383,8809

Greatest Common Factor

We found the factors and prime factorization of 8802 and 8809. The biggest common factor number is the GCF number.
So the greatest common factor 8802 and 8809 is 1.

Also check out the Least Common Multiple of 8802 and 8809

Properties of GCF 8802 and 8809

(i) The GCF of 8802 and 8809 is associative

GCF of 8802 and 8809 = GCF of 8809 and 8802

Frequently Asked Questions on GCF of 8802 and 8809

1. What is the GCF of 8802 and 8809?

Answer: GCF of 8802 and 8809 is 1.

2. What are the Factors of 8802?

Answer: Factors of 8802 are 1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802. There are 16 integers that are factors of 8802. The greatest factor of 8802 is 8802.

3. What are the Factors of 8809?

Answer: Factors of 8809 are 1, 23, 383, 8809. There are 4 integers that are factors of 8809. The greatest factor of 8809 is 8809.

4. How to Find the GCF of 8802 and 8809?

Answer:

Greatest Common Factor of 8802 and 8809 = 1

Step 1: Find the prime factorization of 8802

8802 = 2 x 3 x 3 x 3 x 163

Step 2: Find the prime factorization of 8809

8809 = 23 x 383

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 8802 and 8809 is 1