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 8404, 8406 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8404 and 8406 is 2.
GCF(8404,8406) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8404
2 | 8404 |
2 | 4202 |
11 | 2101 |
191 | 191 |
1 |
Prime factors of 8404 are 2,11,191. Prime factorization of 8404 in exponential form is:
8404 = 22×111×1911
Prime Factorization of 8406
2 | 8406 |
3 | 4203 |
3 | 1401 |
467 | 467 |
1 |
Prime factors of 8406 are 2,3,467. Prime factorization of 8406 in exponential form is:
8406 = 21×32×4671
∴ So by taking common prime factors GCF of 8404 and 8406 is 2
Factors of 8404
List of positive integer factors of 8404 that divides 8404 without a remainder.
1,2,4,11,22,44,191,382,764,2101,4202,8404
Factors of 8406
List of positive integer factors of 8406 that divides 8406 without a remainder.
1,2,3,6,9,18,467,934,1401,2802,4203,8406
Greatest Common Factor
We found the factors and prime factorization of 8404 and 8406. The biggest common factor number is the GCF number.
So the greatest common factor 8404 and 8406 is 2.
Also check out the Least Common Multiple of 8404 and 8406
(i) The GCF of 8404 and 8406 is associative
GCF of 8404 and 8406 = GCF of 8406 and 8404
1. What is the GCF of 8404 and 8406?
Answer: GCF of 8404 and 8406 is 2.
2. What are the Factors of 8404?
Answer: Factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404. There are 12 integers that are factors of 8404. The greatest factor of 8404 is 8404.
3. What are the Factors of 8406?
Answer: Factors of 8406 are 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406. There are 12 integers that are factors of 8406. The greatest factor of 8406 is 8406.
4. How to Find the GCF of 8404 and 8406?
Answer:
Greatest Common Factor of 8404 and 8406 = 2
Step 1: Find the prime factorization of 8404
8404 = 2 x 2 x 11 x 191
Step 2: Find the prime factorization of 8406
8406 = 2 x 3 x 3 x 467
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8404 and 8406 is 2