Greatest Common Factor of 11422 and 11426

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 11422, 11426 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11422 and 11426 is 2.

GCF(11422,11426) = 2

GCF of 11422 and 11426

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

GCF of:
and

Greatest Common Factor of 11422 and 11426

GCF of 11422 and 11426 is 2

Prime Factorization of 11422


2 11422
5711 5711
1

Prime factors of 11422 are 2,5711. Prime factorization of 11422 in exponential form is:

11422 = 21×57111

Prime Factorization of 11426


2 11426
29 5713
197 197
1

Prime factors of 11426 are 2,29,197. Prime factorization of 11426 in exponential form is:

11426 = 21×291×1971

∴ So by taking common prime factors GCF of 11422 and 11426 is 2

Greatest Common Factor of 11422 and 11426 by matching factors method

Factors of 11422

List of positive integer factors of 11422 that divides 11422 without a remainder.

1,2,5711,11422

Factors of 11426

List of positive integer factors of 11426 that divides 11426 without a remainder.

1,2,29,58,197,394,5713,11426

Greatest Common Factor

We found the factors and prime factorization of 11422 and 11426. The biggest common factor number is the GCF number.
So the greatest common factor 11422 and 11426 is 2.

Also check out the Least Common Multiple of 11422 and 11426

Properties of GCF 11422 and 11426

(i) The GCF of 11422 and 11426 is associative

GCF of 11422 and 11426 = GCF of 11426 and 11422

Related Greatest Common Factor of 11422

Related Greatest Common Factor of 11426

Frequently Asked Questions on GCF of 11422 and 11426

1. What is the GCF of 11422 and 11426?

Answer: GCF of 11422 and 11426 is 2.

2. What are the Factors of 11422?

Answer: Factors of 11422 are 1, 2, 5711, 11422. There are 4 integers that are factors of 11422. The greatest factor of 11422 is 11422.

3. What are the Factors of 11426?

Answer: Factors of 11426 are 1, 2, 29, 58, 197, 394, 5713, 11426. There are 8 integers that are factors of 11426. The greatest factor of 11426 is 11426.

4. How to Find the GCF of 11422 and 11426?

Answer:

Greatest Common Factor of 11422 and 11426 = 2

Step 1: Find the prime factorization of 11422

11422 = 2 x 5711

Step 2: Find the prime factorization of 11426

11426 = 2 x 29 x 197

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 11422 and 11426 is 2