Greatest Common Factor of 11416 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 11416, 11424 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11416 and 11424 is 8.

GCF(11416,11424) = 8

GCF of 11416 and 11424

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

GCF of:
and

Greatest Common Factor of 11416 and 11424

GCF of 11416 and 11424 is 8

Prime Factorization of 11416


2 11416
2 5708
2 2854
1427 1427
1

Prime factors of 11416 are 2,1427. Prime factorization of 11416 in exponential form is:

11416 = 23×14271

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 2,3,7,17. Prime factorization of 11424 in exponential form is:

11424 = 25×31×71×171

∴ So by taking common prime factors GCF of 11416 and 11424 is 8

Greatest Common Factor of 11416 and 11424 by matching factors method

Factors of 11416

List of positive integer factors of 11416 that divides 11416 without a remainder.

1,2,4,8,1427,2854,5708,11416

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 11416 and 11424. The biggest common factor number is the GCF number.
So the greatest common factor 11416 and 11424 is 8.

Also check out the Least Common Multiple of 11416 and 11424

Properties of GCF 11416 and 11424

(i) The GCF of 11416 and 11424 is associative

GCF of 11416 and 11424 = GCF of 11424 and 11416

Related Greatest Common Factor of 11416

Related Greatest Common Factor of 11424

Frequently Asked Questions on GCF of 11416 and 11424

1. What is the GCF of 11416 and 11424?

Answer: GCF of 11416 and 11424 is 8.

2. What are the Factors of 11416?

Answer: Factors of 11416 are 1, 2, 4, 8, 1427, 2854, 5708, 11416. There are 8 integers that are factors of 11416. The greatest factor of 11416 is 11416.

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 11416 and 11424?

Answer:

Greatest Common Factor of 11416 and 11424 = 8

Step 1: Find the prime factorization of 11416

11416 = 2 x 2 x 2 x 1427

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 = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 11416 and 11424 is 8