Greatest Common Factor of 11421 and 11427

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 11421, 11427 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11421 and 11427 is 3.

GCF(11421,11427) = 3

GCF of 11421 and 11427

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

GCF of:
and

Greatest Common Factor of 11421 and 11427

GCF of 11421 and 11427 is 3

Prime Factorization of 11421


3 11421
3 3807
3 1269
3 423
3 141
47 47
1

Prime factors of 11421 are 3,47. Prime factorization of 11421 in exponential form is:

11421 = 35×471

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

∴ So by taking common prime factors GCF of 11421 and 11427 is 3

Greatest Common Factor of 11421 and 11427 by matching factors method

Factors of 11421

List of positive integer factors of 11421 that divides 11421 without a remainder.

1,3,9,27,47,81,141,243,423,1269,3807,11421

Factors of 11427

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

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

Greatest Common Factor

We found the factors and prime factorization of 11421 and 11427. The biggest common factor number is the GCF number.
So the greatest common factor 11421 and 11427 is 3.

Also check out the Least Common Multiple of 11421 and 11427

Properties of GCF 11421 and 11427

(i) The GCF of 11421 and 11427 is associative

GCF of 11421 and 11427 = GCF of 11427 and 11421

Related Greatest Common Factor of 11421

Related Greatest Common Factor of 11427

Frequently Asked Questions on GCF of 11421 and 11427

1. What is the GCF of 11421 and 11427?

Answer: GCF of 11421 and 11427 is 3.

2. What are the Factors of 11421?

Answer: Factors of 11421 are 1, 3, 9, 27, 47, 81, 141, 243, 423, 1269, 3807, 11421. There are 12 integers that are factors of 11421. The greatest factor of 11421 is 11421.

3. 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.

4. How to Find the GCF of 11421 and 11427?

Answer:

Greatest Common Factor of 11421 and 11427 = 3

Step 1: Find the prime factorization of 11421

11421 = 3 x 3 x 3 x 3 x 3 x 47

Step 2: Find the prime factorization of 11427

11427 = 3 x 13 x 293

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

GCF = 3

Step 4: Therefore, the greatest common factor of 11421 and 11427 is 3