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 3401, 3409 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3401 and 3409 is 1.
GCF(3401,3409) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3401
19 | 3401 |
179 | 179 |
1 |
Prime factors of 3401 are 19,179. Prime factorization of 3401 in exponential form is:
3401 = 191×1791
Prime Factorization of 3409
7 | 3409 |
487 | 487 |
1 |
Prime factors of 3409 are 7,487. Prime factorization of 3409 in exponential form is:
3409 = 71×4871
∴ So by taking common prime factors GCF of 3401 and 3409 is 1
Factors of 3401
List of positive integer factors of 3401 that divides 3401 without a remainder.
1,19,179,3401
Factors of 3409
List of positive integer factors of 3409 that divides 3409 without a remainder.
1,7,487,3409
Greatest Common Factor
We found the factors and prime factorization of 3401 and 3409. The biggest common factor number is the GCF number.
So the greatest common factor 3401 and 3409 is 1.
Also check out the Least Common Multiple of 3401 and 3409
(i) The GCF of 3401 and 3409 is associative
GCF of 3401 and 3409 = GCF of 3409 and 3401
1. What is the GCF of 3401 and 3409?
Answer: GCF of 3401 and 3409 is 1.
2. What are the Factors of 3401?
Answer: Factors of 3401 are 1, 19, 179, 3401. There are 4 integers that are factors of 3401. The greatest factor of 3401 is 3401.
3. What are the Factors of 3409?
Answer: Factors of 3409 are 1, 7, 487, 3409. There are 4 integers that are factors of 3409. The greatest factor of 3409 is 3409.
4. How to Find the GCF of 3401 and 3409?
Answer:
Greatest Common Factor of 3401 and 3409 = 1
Step 1: Find the prime factorization of 3401
3401 = 19 x 179
Step 2: Find the prime factorization of 3409
3409 = 7 x 487
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 3401 and 3409 is 1