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 3443, 3450 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3443 and 3450 is 1.
GCF(3443,3450) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3443
11 | 3443 |
313 | 313 |
1 |
Prime factors of 3443 are 11,313. Prime factorization of 3443 in exponential form is:
3443 = 111×3131
Prime Factorization of 3450
2 | 3450 |
3 | 1725 |
5 | 575 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 3450 are 2,3,5,23. Prime factorization of 3450 in exponential form is:
3450 = 21×31×52×231
∴ So by taking common prime factors GCF of 3443 and 3450 is 1
Factors of 3443
List of positive integer factors of 3443 that divides 3443 without a remainder.
1,11,313,3443
Factors of 3450
List of positive integer factors of 3450 that divides 3450 without a remainder.
1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450
Greatest Common Factor
We found the factors and prime factorization of 3443 and 3450. The biggest common factor number is the GCF number.
So the greatest common factor 3443 and 3450 is 1.
Also check out the Least Common Multiple of 3443 and 3450
(i) The GCF of 3443 and 3450 is associative
GCF of 3443 and 3450 = GCF of 3450 and 3443
1. What is the GCF of 3443 and 3450?
Answer: GCF of 3443 and 3450 is 1.
2. What are the Factors of 3443?
Answer: Factors of 3443 are 1, 11, 313, 3443. There are 4 integers that are factors of 3443. The greatest factor of 3443 is 3443.
3. What are the Factors of 3450?
Answer: Factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450. There are 24 integers that are factors of 3450. The greatest factor of 3450 is 3450.
4. How to Find the GCF of 3443 and 3450?
Answer:
Greatest Common Factor of 3443 and 3450 = 1
Step 1: Find the prime factorization of 3443
3443 = 11 x 313
Step 2: Find the prime factorization of 3450
3450 = 2 x 3 x 5 x 5 x 23
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 3443 and 3450 is 1