Greatest Common Factor of 1431 and 1439

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

GCF of 1431 and 1439

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1431 and 1439

GCF of 1431 and 1439 is 1

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

Greatest Common Factor of 1431 and 1439 by matching factors method

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

Properties of GCF 1431 and 1439

(i) The GCF of 1431 and 1439 is associative

GCF of 1431 and 1439 = GCF of 1439 and 1431

Frequently Asked Questions on GCF of 1431 and 1439

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