Greatest Common Factor of 11423 and 11424

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 11423, 11424 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11423 and 11424 is 1.

GCF(11423,11424) = 1

GCF of 11423 and 11424

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

GCF of:
and

Greatest Common Factor of 11423 and 11424

GCF of 11423 and 11424 is 1

Prime Factorization of 11423


11423 11423
1

Prime factors of 11423 are 11423. Prime factorization of 11423 in exponential form is:

11423 = 114231

Prime Factorization of 11424


2 11424
2 5712
2 2856
2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 11424 are 2.Prime factorization of 11424 in exponential form is:

11424 = 25×31×71×171

∴ So by taking common prime factors GCF of 11423 and 11424 is 1

Greatest Common Factor of 11423 and 11424 by matching factors method

Factors of 11423

List of positive integer factors of 11423 that divides 11423 without a remainder.

1,11423

Factors of 11424

List of positive integer factors of 11424 that divides 11424 without a remainder.

1,2,3,4,6,7,8,12,14,16,17,21,24,28,32,34,42,48,51,56,68,84,96,102,112,119,136,168,204,224,238,272,336,357,408,476,544,672,714,816,952,1428,1632,1904,2856,3808,5712,11424

Greatest Common Factor

We found the factors and prime factorization of 11423 and 11424. The biggest common factor number is the GCF number.
So the greatest common factor 11423 and 11424 is 1.

Also check out the Least Common Multiple of 11423 and 11424

Properties of GCF 11423 and 11424

(i) The GCF of 11423 and 11424 is associative

GCF of 11423 and 11424 = GCF of 11424 and 11423

Related Greatest Common Factor of 11423

Related Greatest Common Factor of 11424

Frequently Asked Questions on GCF of 11423 and 11424

1. What is the GCF of 11423 and 11424?

Answer: GCF of 11423 and 11424 is 1.

2. What are the Factors of 11423?

Answer: Factors of 11423 are 1, 11423. There are 2 integers that are factors of 11423. The greatest factor of 11423 is 11423.

3. What are the Factors of 11424?

Answer: Factors of 11424 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 51, 56, 68, 84, 96, 102, 112, 119, 136, 168, 204, 224, 238, 272, 336, 357, 408, 476, 544, 672, 714, 816, 952, 1428, 1632, 1904, 2856, 3808, 5712, 11424. There are 48 integers that are factors of 11424. The greatest factor of 11424 is 11424.

4. How to Find the GCF of 11423 and 11424?

Answer:

Greatest Common Factor of 11423 and 11424 = 1

Step 1: Find the prime factorization of 11423

11423 = 11423

Step 2: Find the prime factorization of 11424

11424 = 2 x 2 x 2 x 2 x 2 x 3 x 7 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 11423 and 11424 is 1