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 3437, 3443 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3437 and 3443 is 1.
GCF(3437,3443) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3437
7 | 3437 |
491 | 491 |
1 |
Prime factors of 3437 are 7,491. Prime factorization of 3437 in exponential form is:
3437 = 71×4911
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 3437 and 3443 is 1
Factors of 3437
List of positive integer factors of 3437 that divides 3437 without a remainder.
1,7,491,3437
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 3437 and 3443. The biggest common factor number is the GCF number.
So the greatest common factor 3437 and 3443 is 1.
Also check out the Least Common Multiple of 3437 and 3443
(i) The GCF of 3437 and 3443 is associative
GCF of 3437 and 3443 = GCF of 3443 and 3437
1. What is the GCF of 3437 and 3443?
Answer: GCF of 3437 and 3443 is 1.
2. What are the Factors of 3437?
Answer: Factors of 3437 are 1, 7, 491, 3437. There are 4 integers that are factors of 3437. The greatest factor of 3437 is 3437.
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 3437 and 3443?
Answer:
Greatest Common Factor of 3437 and 3443 = 1
Step 1: Find the prime factorization of 3437
3437 = 7 x 491
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 3437 and 3443 is 1