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 3461, 3468 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3461 and 3468 is 1.
GCF(3461,3468) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3461
3461 | 3461 |
1 |
Prime factors of 3461 are 3461. Prime factorization of 3461 in exponential form is:
3461 = 34611
Prime Factorization of 3468
2 | 3468 |
2 | 1734 |
3 | 867 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 3468 are 2.Prime factorization of 3468 in exponential form is:
3468 = 22×31×172
∴ So by taking common prime factors GCF of 3461 and 3468 is 1
Factors of 3461
List of positive integer factors of 3461 that divides 3461 without a remainder.
1,3461
Factors of 3468
List of positive integer factors of 3468 that divides 3468 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468
Greatest Common Factor
We found the factors and prime factorization of 3461 and 3468. The biggest common factor number is the GCF number.
So the greatest common factor 3461 and 3468 is 1.
Also check out the Least Common Multiple of 3461 and 3468
(i) The GCF of 3461 and 3468 is associative
GCF of 3461 and 3468 = GCF of 3468 and 3461
1. What is the GCF of 3461 and 3468?
Answer: GCF of 3461 and 3468 is 1.
2. What are the Factors of 3461?
Answer: Factors of 3461 are 1, 3461. There are 2 integers that are factors of 3461. The greatest factor of 3461 is 3461.
3. What are the Factors of 3468?
Answer: Factors of 3468 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468. There are 18 integers that are factors of 3468. The greatest factor of 3468 is 3468.
4. How to Find the GCF of 3461 and 3468?
Answer:
Greatest Common Factor of 3461 and 3468 = 1
Step 1: Find the prime factorization of 3461
3461 = 3461
Step 2: Find the prime factorization of 3468
3468 = 2 x 2 x 3 x 17 x 17
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 3461 and 3468 is 1