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 1438, 1443 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1438 and 1443 is 1.
GCF(1438,1443) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1438
2 | 1438 |
719 | 719 |
1 |
Prime factors of 1438 are 2,719. Prime factorization of 1438 in exponential form is:
1438 = 21×7191
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
∴ So by taking common prime factors GCF of 1438 and 1443 is 1
Factors of 1438
List of positive integer factors of 1438 that divides 1438 without a remainder.
1,2,719,1438
Factors of 1443
List of positive integer factors of 1443 that divides 1443 without a remainder.
1,3,13,37,39,111,481,1443
Greatest Common Factor
We found the factors and prime factorization of 1438 and 1443. The biggest common factor number is the GCF number.
So the greatest common factor 1438 and 1443 is 1.
Also check out the Least Common Multiple of 1438 and 1443
(i) The GCF of 1438 and 1443 is associative
GCF of 1438 and 1443 = GCF of 1443 and 1438
1. What is the GCF of 1438 and 1443?
Answer: GCF of 1438 and 1443 is 1.
2. What are the Factors of 1438?
Answer: Factors of 1438 are 1, 2, 719, 1438. There are 4 integers that are factors of 1438. The greatest factor of 1438 is 1438.
3. 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.
4. How to Find the GCF of 1438 and 1443?
Answer:
Greatest Common Factor of 1438 and 1443 = 1
Step 1: Find the prime factorization of 1438
1438 = 2 x 719
Step 2: Find the prime factorization of 1443
1443 = 3 x 13 x 37
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 1438 and 1443 is 1