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 3421, 3426 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3421 and 3426 is 1.
GCF(3421,3426) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3421
11 | 3421 |
311 | 311 |
1 |
Prime factors of 3421 are 11,311. Prime factorization of 3421 in exponential form is:
3421 = 111×3111
Prime Factorization of 3426
2 | 3426 |
3 | 1713 |
571 | 571 |
1 |
Prime factors of 3426 are 2,3,571. Prime factorization of 3426 in exponential form is:
3426 = 21×31×5711
∴ So by taking common prime factors GCF of 3421 and 3426 is 1
Factors of 3421
List of positive integer factors of 3421 that divides 3421 without a remainder.
1,11,311,3421
Factors of 3426
List of positive integer factors of 3426 that divides 3426 without a remainder.
1,2,3,6,571,1142,1713,3426
Greatest Common Factor
We found the factors and prime factorization of 3421 and 3426. The biggest common factor number is the GCF number.
So the greatest common factor 3421 and 3426 is 1.
Also check out the Least Common Multiple of 3421 and 3426
(i) The GCF of 3421 and 3426 is associative
GCF of 3421 and 3426 = GCF of 3426 and 3421
1. What is the GCF of 3421 and 3426?
Answer: GCF of 3421 and 3426 is 1.
2. What are the Factors of 3421?
Answer: Factors of 3421 are 1, 11, 311, 3421. There are 4 integers that are factors of 3421. The greatest factor of 3421 is 3421.
3. What are the Factors of 3426?
Answer: Factors of 3426 are 1, 2, 3, 6, 571, 1142, 1713, 3426. There are 8 integers that are factors of 3426. The greatest factor of 3426 is 3426.
4. How to Find the GCF of 3421 and 3426?
Answer:
Greatest Common Factor of 3421 and 3426 = 1
Step 1: Find the prime factorization of 3421
3421 = 11 x 311
Step 2: Find the prime factorization of 3426
3426 = 2 x 3 x 571
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 3421 and 3426 is 1