Greatest Common Factor of 2431 and 2438

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 2431, 2438 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2431 and 2438 is 1.

GCF(2431,2438) = 1

GCF of 2431 and 2438

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

GCF of:
and

Greatest Common Factor of 2431 and 2438

GCF of 2431 and 2438 is 1

Prime Factorization of 2431


11 2431
13 221
17 17
1

Prime factors of 2431 are 11,13,17. Prime factorization of 2431 in exponential form is:

2431 = 111×131×171

Prime Factorization of 2438


2 2438
23 1219
53 53
1

Prime factors of 2438 are 2,23,53. Prime factorization of 2438 in exponential form is:

2438 = 21×231×531

∴ So by taking common prime factors GCF of 2431 and 2438 is 1

Greatest Common Factor of 2431 and 2438 by matching factors method

Factors of 2431

List of positive integer factors of 2431 that divides 2431 without a remainder.

1,11,13,17,143,187,221,2431

Factors of 2438

List of positive integer factors of 2438 that divides 2438 without a remainder.

1,2,23,46,53,106,1219,2438

Greatest Common Factor

We found the factors and prime factorization of 2431 and 2438. The biggest common factor number is the GCF number.
So the greatest common factor 2431 and 2438 is 1.

Also check out the Least Common Multiple of 2431 and 2438

Properties of GCF 2431 and 2438

(i) The GCF of 2431 and 2438 is associative

GCF of 2431 and 2438 = GCF of 2438 and 2431

Related Greatest Common Factor of 2431

Related Greatest Common Factor of 2438

Frequently Asked Questions on GCF of 2431 and 2438

1. What is the GCF of 2431 and 2438?

Answer: GCF of 2431 and 2438 is 1.

2. What are the Factors of 2431?

Answer: Factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431. There are 8 integers that are factors of 2431. The greatest factor of 2431 is 2431.

3. What are the Factors of 2438?

Answer: Factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438. There are 8 integers that are factors of 2438. The greatest factor of 2438 is 2438.

4. How to Find the GCF of 2431 and 2438?

Answer:

Greatest Common Factor of 2431 and 2438 = 1

Step 1: Find the prime factorization of 2431

2431 = 11 x 13 x 17

Step 2: Find the prime factorization of 2438

2438 = 2 x 23 x 53

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 2431 and 2438 is 1