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 3459, 3463 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3459 and 3463 is 1.
GCF(3459,3463) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3459
3 | 3459 |
1153 | 1153 |
1 |
Prime factors of 3459 are 3,1153. Prime factorization of 3459 in exponential form is:
3459 = 31×11531
Prime Factorization of 3463
3463 | 3463 |
1 |
Prime factors of 3463 are 3463. Prime factorization of 3463 in exponential form is:
3463 = 34631
∴ So by taking common prime factors GCF of 3459 and 3463 is 1
Factors of 3459
List of positive integer factors of 3459 that divides 3459 without a remainder.
1,3,1153,3459
Factors of 3463
List of positive integer factors of 3463 that divides 3463 without a remainder.
1,3463
Greatest Common Factor
We found the factors and prime factorization of 3459 and 3463. The biggest common factor number is the GCF number.
So the greatest common factor 3459 and 3463 is 1.
Also check out the Least Common Multiple of 3459 and 3463
(i) The GCF of 3459 and 3463 is associative
GCF of 3459 and 3463 = GCF of 3463 and 3459
1. What is the GCF of 3459 and 3463?
Answer: GCF of 3459 and 3463 is 1.
2. What are the Factors of 3459?
Answer: Factors of 3459 are 1, 3, 1153, 3459. There are 4 integers that are factors of 3459. The greatest factor of 3459 is 3459.
3. What are the Factors of 3463?
Answer: Factors of 3463 are 1, 3463. There are 2 integers that are factors of 3463. The greatest factor of 3463 is 3463.
4. How to Find the GCF of 3459 and 3463?
Answer:
Greatest Common Factor of 3459 and 3463 = 1
Step 1: Find the prime factorization of 3459
3459 = 3 x 1153
Step 2: Find the prime factorization of 3463
3463 = 3463
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 3459 and 3463 is 1