Greatest Common Factor of 2429 and 2431

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 2429, 2431 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2429 and 2431 is 1.

GCF(2429,2431) = 1

GCF of 2429 and 2431

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

GCF of:
and

Greatest Common Factor of 2429 and 2431

GCF of 2429 and 2431 is 1

Prime Factorization of 2429


7 2429
347 347
1

Prime factors of 2429 are 7,347. Prime factorization of 2429 in exponential form is:

2429 = 71×3471

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

∴ So by taking common prime factors GCF of 2429 and 2431 is 1

Greatest Common Factor of 2429 and 2431 by matching factors method

Factors of 2429

List of positive integer factors of 2429 that divides 2429 without a remainder.

1,7,347,2429

Factors of 2431

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

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

Greatest Common Factor

We found the factors and prime factorization of 2429 and 2431. The biggest common factor number is the GCF number.
So the greatest common factor 2429 and 2431 is 1.

Also check out the Least Common Multiple of 2429 and 2431

Properties of GCF 2429 and 2431

(i) The GCF of 2429 and 2431 is associative

GCF of 2429 and 2431 = GCF of 2431 and 2429

Related Greatest Common Factor of 2429

Related Greatest Common Factor of 2431

Frequently Asked Questions on GCF of 2429 and 2431

1. What is the GCF of 2429 and 2431?

Answer: GCF of 2429 and 2431 is 1.

2. What are the Factors of 2429?

Answer: Factors of 2429 are 1, 7, 347, 2429. There are 4 integers that are factors of 2429. The greatest factor of 2429 is 2429.

3. 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.

4. How to Find the GCF of 2429 and 2431?

Answer:

Greatest Common Factor of 2429 and 2431 = 1

Step 1: Find the prime factorization of 2429

2429 = 7 x 347

Step 2: Find the prime factorization of 2431

2431 = 11 x 13 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 2429 and 2431 is 1