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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 8802 and 8809 is associative
GCF of 8802 and 8809 = GCF of 8809 and 8802
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