Greatest Common Factor of 47322 and 47328

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 47322, 47328 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47322 and 47328 is 6.

GCF(47322,47328) = 6

GCF of 47322 and 47328

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

GCF of:
and

Greatest Common Factor of 47322 and 47328

GCF of 47322 and 47328 is 6

Prime Factorization of 47322


2 47322
3 23661
3 7887
11 2629
239 239
1

Prime factors of 47322 are 2,3,11,239. Prime factorization of 47322 in exponential form is:

47322 = 21×32×111×2391

Prime Factorization of 47328


2 47328
2 23664
2 11832
2 5916
2 2958
3 1479
17 493
29 29
1

Prime factors of 47328 are 2,3,17,29. Prime factorization of 47328 in exponential form is:

47328 = 25×31×171×291

∴ So by taking common prime factors GCF of 47322 and 47328 is 6

Greatest Common Factor of 47322 and 47328 by matching factors method

Factors of 47322

List of positive integer factors of 47322 that divides 47322 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198,239,478,717,1434,2151,2629,4302,5258,7887,15774,23661,47322

Factors of 47328

List of positive integer factors of 47328 that divides 47328 without a remainder.

1,2,3,4,6,8,12,16,17,24,29,32,34,48,51,58,68,87,96,102,116,136,174,204,232,272,348,408,464,493,544,696,816,928,986,1392,1479,1632,1972,2784,2958,3944,5916,7888,11832,15776,23664,47328

Greatest Common Factor

We found the factors and prime factorization of 47322 and 47328. The biggest common factor number is the GCF number.
So the greatest common factor 47322 and 47328 is 6.

Also check out the Least Common Multiple of 47322 and 47328

Properties of GCF 47322 and 47328

(i) The GCF of 47322 and 47328 is associative

GCF of 47322 and 47328 = GCF of 47328 and 47322

Related Greatest Common Factor of 47322

Related Greatest Common Factor of 47328

Frequently Asked Questions on GCF of 47322 and 47328

1. What is the GCF of 47322 and 47328?

Answer: GCF of 47322 and 47328 is 6.

2. What are the Factors of 47322?

Answer: Factors of 47322 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434, 2151, 2629, 4302, 5258, 7887, 15774, 23661, 47322. There are 24 integers that are factors of 47322. The greatest factor of 47322 is 47322.

3. What are the Factors of 47328?

Answer: Factors of 47328 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 29, 32, 34, 48, 51, 58, 68, 87, 96, 102, 116, 136, 174, 204, 232, 272, 348, 408, 464, 493, 544, 696, 816, 928, 986, 1392, 1479, 1632, 1972, 2784, 2958, 3944, 5916, 7888, 11832, 15776, 23664, 47328. There are 48 integers that are factors of 47328. The greatest factor of 47328 is 47328.

4. How to Find the GCF of 47322 and 47328?

Answer:

Greatest Common Factor of 47322 and 47328 = 6

Step 1: Find the prime factorization of 47322

47322 = 2 x 3 x 3 x 11 x 239

Step 2: Find the prime factorization of 47328

47328 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 29

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 47322 and 47328 is 6