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 3436, 3443 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3436 and 3443 is 1.
GCF(3436,3443) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3436
2 | 3436 |
2 | 1718 |
859 | 859 |
1 |
Prime factors of 3436 are 2,859. Prime factorization of 3436 in exponential form is:
3436 = 22×8591
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
∴ So by taking common prime factors GCF of 3436 and 3443 is 1
Factors of 3436
List of positive integer factors of 3436 that divides 3436 without a remainder.
1,2,4,859,1718,3436
Factors of 3443
List of positive integer factors of 3443 that divides 3443 without a remainder.
1,11,313,3443
Greatest Common Factor
We found the factors and prime factorization of 3436 and 3443. The biggest common factor number is the GCF number.
So the greatest common factor 3436 and 3443 is 1.
Also check out the Least Common Multiple of 3436 and 3443
(i) The GCF of 3436 and 3443 is associative
GCF of 3436 and 3443 = GCF of 3443 and 3436
1. What is the GCF of 3436 and 3443?
Answer: GCF of 3436 and 3443 is 1.
2. What are the Factors of 3436?
Answer: Factors of 3436 are 1, 2, 4, 859, 1718, 3436. There are 6 integers that are factors of 3436. The greatest factor of 3436 is 3436.
3. 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.
4. How to Find the GCF of 3436 and 3443?
Answer:
Greatest Common Factor of 3436 and 3443 = 1
Step 1: Find the prime factorization of 3436
3436 = 2 x 2 x 859
Step 2: Find the prime factorization of 3443
3443 = 11 x 313
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 3436 and 3443 is 1