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 3440, 3447 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3440 and 3447 is 1.
GCF(3440,3447) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3440
2 | 3440 |
2 | 1720 |
2 | 860 |
2 | 430 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 3440 are 2,5,43. Prime factorization of 3440 in exponential form is:
3440 = 24×51×431
Prime Factorization of 3447
3 | 3447 |
3 | 1149 |
383 | 383 |
1 |
Prime factors of 3447 are 3,383. Prime factorization of 3447 in exponential form is:
3447 = 32×3831
∴ So by taking common prime factors GCF of 3440 and 3447 is 1
Factors of 3440
List of positive integer factors of 3440 that divides 3440 without a remainder.
1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440
Factors of 3447
List of positive integer factors of 3447 that divides 3447 without a remainder.
1,3,9,383,1149,3447
Greatest Common Factor
We found the factors and prime factorization of 3440 and 3447. The biggest common factor number is the GCF number.
So the greatest common factor 3440 and 3447 is 1.
Also check out the Least Common Multiple of 3440 and 3447
(i) The GCF of 3440 and 3447 is associative
GCF of 3440 and 3447 = GCF of 3447 and 3440
1. What is the GCF of 3440 and 3447?
Answer: GCF of 3440 and 3447 is 1.
2. What are the Factors of 3440?
Answer: Factors of 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440. There are 20 integers that are factors of 3440. The greatest factor of 3440 is 3440.
3. What are the Factors of 3447?
Answer: Factors of 3447 are 1, 3, 9, 383, 1149, 3447. There are 6 integers that are factors of 3447. The greatest factor of 3447 is 3447.
4. How to Find the GCF of 3440 and 3447?
Answer:
Greatest Common Factor of 3440 and 3447 = 1
Step 1: Find the prime factorization of 3440
3440 = 2 x 2 x 2 x 2 x 5 x 43
Step 2: Find the prime factorization of 3447
3447 = 3 x 3 x 383
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 3440 and 3447 is 1