Greatest Common Factor of 11427 and 11432

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 11427, 11432 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11427 and 11432 is 1.

GCF(11427,11432) = 1

GCF of 11427 and 11432

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

GCF of:
and

Greatest Common Factor of 11427 and 11432

GCF of 11427 and 11432 is 1

Prime Factorization of 11427


3 11427
13 3809
293 293
1

Prime factors of 11427 are 3,13,293. Prime factorization of 11427 in exponential form is:

11427 = 31×131×2931

Prime Factorization of 11432


2 11432
2 5716
2 2858
1429 1429
1

Prime factors of 11432 are 2,1429. Prime factorization of 11432 in exponential form is:

11432 = 23×14291

∴ So by taking common prime factors GCF of 11427 and 11432 is 1

Greatest Common Factor of 11427 and 11432 by matching factors method

Factors of 11427

List of positive integer factors of 11427 that divides 11427 without a remainder.

1,3,13,39,293,879,3809,11427

Factors of 11432

List of positive integer factors of 11432 that divides 11432 without a remainder.

1,2,4,8,1429,2858,5716,11432

Greatest Common Factor

We found the factors and prime factorization of 11427 and 11432. The biggest common factor number is the GCF number.
So the greatest common factor 11427 and 11432 is 1.

Also check out the Least Common Multiple of 11427 and 11432

Properties of GCF 11427 and 11432

(i) The GCF of 11427 and 11432 is associative

GCF of 11427 and 11432 = GCF of 11432 and 11427

Frequently Asked Questions on GCF of 11427 and 11432

1. What is the GCF of 11427 and 11432?

Answer: GCF of 11427 and 11432 is 1.

2. What are the Factors of 11427?

Answer: Factors of 11427 are 1, 3, 13, 39, 293, 879, 3809, 11427. There are 8 integers that are factors of 11427. The greatest factor of 11427 is 11427.

3. What are the Factors of 11432?

Answer: Factors of 11432 are 1, 2, 4, 8, 1429, 2858, 5716, 11432. There are 8 integers that are factors of 11432. The greatest factor of 11432 is 11432.

4. How to Find the GCF of 11427 and 11432?

Answer:

Greatest Common Factor of 11427 and 11432 = 1

Step 1: Find the prime factorization of 11427

11427 = 3 x 13 x 293

Step 2: Find the prime factorization of 11432

11432 = 2 x 2 x 2 x 1429

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 11427 and 11432 is 1