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 1431, 1439 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1431 and 1439 is 1.
GCF(1431,1439) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1431
3 | 1431 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 1431 are 3,53. Prime factorization of 1431 in exponential form is:
1431 = 33×531
Prime Factorization of 1439
1439 | 1439 |
1 |
Prime factors of 1439 are 1439. Prime factorization of 1439 in exponential form is:
1439 = 14391
∴ So by taking common prime factors GCF of 1431 and 1439 is 1
Factors of 1431
List of positive integer factors of 1431 that divides 1431 without a remainder.
1,3,9,27,53,159,477,1431
Factors of 1439
List of positive integer factors of 1439 that divides 1439 without a remainder.
1,1439
Greatest Common Factor
We found the factors and prime factorization of 1431 and 1439. The biggest common factor number is the GCF number.
So the greatest common factor 1431 and 1439 is 1.
Also check out the Least Common Multiple of 1431 and 1439
(i) The GCF of 1431 and 1439 is associative
GCF of 1431 and 1439 = GCF of 1439 and 1431
1. What is the GCF of 1431 and 1439?
Answer: GCF of 1431 and 1439 is 1.
2. What are the Factors of 1431?
Answer: Factors of 1431 are 1, 3, 9, 27, 53, 159, 477, 1431. There are 8 integers that are factors of 1431. The greatest factor of 1431 is 1431.
3. What are the Factors of 1439?
Answer: Factors of 1439 are 1, 1439. There are 2 integers that are factors of 1439. The greatest factor of 1439 is 1439.
4. How to Find the GCF of 1431 and 1439?
Answer:
Greatest Common Factor of 1431 and 1439 = 1
Step 1: Find the prime factorization of 1431
1431 = 3 x 3 x 3 x 53
Step 2: Find the prime factorization of 1439
1439 = 1439
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 1431 and 1439 is 1