Greatest Common Factor of 11431 and 11434

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 11431, 11434 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11431 and 11434 is 1.

GCF(11431,11434) = 1

GCF of 11431 and 11434

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

GCF of:
and

Greatest Common Factor of 11431 and 11434

GCF of 11431 and 11434 is 1

Prime Factorization of 11431


7 11431
23 1633
71 71
1

Prime factors of 11431 are 7,23,71. Prime factorization of 11431 in exponential form is:

11431 = 71×231×711

Prime Factorization of 11434


2 11434
5717 5717
1

Prime factors of 11434 are 2,5717. Prime factorization of 11434 in exponential form is:

11434 = 21×57171

∴ So by taking common prime factors GCF of 11431 and 11434 is 1

Greatest Common Factor of 11431 and 11434 by matching factors method

Factors of 11431

List of positive integer factors of 11431 that divides 11431 without a remainder.

1,7,23,71,161,497,1633,11431

Factors of 11434

List of positive integer factors of 11434 that divides 11434 without a remainder.

1,2,5717,11434

Greatest Common Factor

We found the factors and prime factorization of 11431 and 11434. The biggest common factor number is the GCF number.
So the greatest common factor 11431 and 11434 is 1.

Also check out the Least Common Multiple of 11431 and 11434

Properties of GCF 11431 and 11434

(i) The GCF of 11431 and 11434 is associative

GCF of 11431 and 11434 = GCF of 11434 and 11431

Related Greatest Common Factor of 11431

Related Greatest Common Factor of 11434

Frequently Asked Questions on GCF of 11431 and 11434

1. What is the GCF of 11431 and 11434?

Answer: GCF of 11431 and 11434 is 1.

2. What are the Factors of 11431?

Answer: Factors of 11431 are 1, 7, 23, 71, 161, 497, 1633, 11431. There are 8 integers that are factors of 11431. The greatest factor of 11431 is 11431.

3. What are the Factors of 11434?

Answer: Factors of 11434 are 1, 2, 5717, 11434. There are 4 integers that are factors of 11434. The greatest factor of 11434 is 11434.

4. How to Find the GCF of 11431 and 11434?

Answer:

Greatest Common Factor of 11431 and 11434 = 1

Step 1: Find the prime factorization of 11431

11431 = 7 x 23 x 71

Step 2: Find the prime factorization of 11434

11434 = 2 x 5717

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 11431 and 11434 is 1