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 3404, 3410 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3404 and 3410 is 2.
GCF(3404,3410) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3404
2 | 3404 |
2 | 1702 |
23 | 851 |
37 | 37 |
1 |
Prime factors of 3404 are 2,23,37. Prime factorization of 3404 in exponential form is:
3404 = 22×231×371
Prime Factorization of 3410
2 | 3410 |
5 | 1705 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 3410 are 2,5,11,31. Prime factorization of 3410 in exponential form is:
3410 = 21×51×111×311
∴ So by taking common prime factors GCF of 3404 and 3410 is 2
Factors of 3404
List of positive integer factors of 3404 that divides 3404 without a remainder.
1,2,4,23,37,46,74,92,148,851,1702,3404
Factors of 3410
List of positive integer factors of 3410 that divides 3410 without a remainder.
1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410
Greatest Common Factor
We found the factors and prime factorization of 3404 and 3410. The biggest common factor number is the GCF number.
So the greatest common factor 3404 and 3410 is 2.
Also check out the Least Common Multiple of 3404 and 3410
(i) The GCF of 3404 and 3410 is associative
GCF of 3404 and 3410 = GCF of 3410 and 3404
1. What is the GCF of 3404 and 3410?
Answer: GCF of 3404 and 3410 is 2.
2. What are the Factors of 3404?
Answer: Factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404. There are 12 integers that are factors of 3404. The greatest factor of 3404 is 3404.
3. What are the Factors of 3410?
Answer: Factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410. There are 16 integers that are factors of 3410. The greatest factor of 3410 is 3410.
4. How to Find the GCF of 3404 and 3410?
Answer:
Greatest Common Factor of 3404 and 3410 = 2
Step 1: Find the prime factorization of 3404
3404 = 2 x 2 x 23 x 37
Step 2: Find the prime factorization of 3410
3410 = 2 x 5 x 11 x 31
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 3404 and 3410 is 2