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 3449, 3456 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3449 and 3456 is 1.
GCF(3449,3456) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3449
3449 | 3449 |
1 |
Prime factors of 3449 are 3449. Prime factorization of 3449 in exponential form is:
3449 = 34491
Prime Factorization of 3456
2 | 3456 |
2 | 1728 |
2 | 864 |
2 | 432 |
2 | 216 |
2 | 108 |
2 | 54 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 3456 are 2.Prime factorization of 3456 in exponential form is:
3456 = 27×33
∴ So by taking common prime factors GCF of 3449 and 3456 is 1
Factors of 3449
List of positive integer factors of 3449 that divides 3449 without a remainder.
1,3449
Factors of 3456
List of positive integer factors of 3456 that divides 3456 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,288,384,432,576,864,1152,1728,3456
Greatest Common Factor
We found the factors and prime factorization of 3449 and 3456. The biggest common factor number is the GCF number.
So the greatest common factor 3449 and 3456 is 1.
Also check out the Least Common Multiple of 3449 and 3456
(i) The GCF of 3449 and 3456 is associative
GCF of 3449 and 3456 = GCF of 3456 and 3449
1. What is the GCF of 3449 and 3456?
Answer: GCF of 3449 and 3456 is 1.
2. What are the Factors of 3449?
Answer: Factors of 3449 are 1, 3449. There are 2 integers that are factors of 3449. The greatest factor of 3449 is 3449.
3. What are the Factors of 3456?
Answer: Factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456. There are 32 integers that are factors of 3456. The greatest factor of 3456 is 3456.
4. How to Find the GCF of 3449 and 3456?
Answer:
Greatest Common Factor of 3449 and 3456 = 1
Step 1: Find the prime factorization of 3449
3449 = 3449
Step 2: Find the prime factorization of 3456
3456 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
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 3449 and 3456 is 1