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 1443, 1445 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1443 and 1445 is 1.
GCF(1443,1445) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1443
3 | 1443 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 1443 are 3,13,37. Prime factorization of 1443 in exponential form is:
1443 = 31×131×371
Prime Factorization of 1445
5 | 1445 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 1445 are 5,17. Prime factorization of 1445 in exponential form is:
1445 = 51×172
∴ So by taking common prime factors GCF of 1443 and 1445 is 1
Factors of 1443
List of positive integer factors of 1443 that divides 1443 without a remainder.
1,3,13,37,39,111,481,1443
Factors of 1445
List of positive integer factors of 1445 that divides 1445 without a remainder.
1,5,17,85,289,1445
Greatest Common Factor
We found the factors and prime factorization of 1443 and 1445. The biggest common factor number is the GCF number.
So the greatest common factor 1443 and 1445 is 1.
Also check out the Least Common Multiple of 1443 and 1445
(i) The GCF of 1443 and 1445 is associative
GCF of 1443 and 1445 = GCF of 1445 and 1443
1. What is the GCF of 1443 and 1445?
Answer: GCF of 1443 and 1445 is 1.
2. What are the Factors of 1443?
Answer: Factors of 1443 are 1, 3, 13, 37, 39, 111, 481, 1443. There are 8 integers that are factors of 1443. The greatest factor of 1443 is 1443.
3. What are the Factors of 1445?
Answer: Factors of 1445 are 1, 5, 17, 85, 289, 1445. There are 6 integers that are factors of 1445. The greatest factor of 1445 is 1445.
4. How to Find the GCF of 1443 and 1445?
Answer:
Greatest Common Factor of 1443 and 1445 = 1
Step 1: Find the prime factorization of 1443
1443 = 3 x 13 x 37
Step 2: Find the prime factorization of 1445
1445 = 5 x 17 x 17
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 1443 and 1445 is 1