Greatest Common Factor of 47328 and 47332

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 47328, 47332 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47328 and 47332 is 4.

GCF(47328,47332) = 4

GCF of 47328 and 47332

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

GCF of:
and

Greatest Common Factor of 47328 and 47332

GCF of 47328 and 47332 is 4

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

Prime Factorization of 47332


2 47332
2 23666
11833 11833
1

Prime factors of 47332 are 2,11833. Prime factorization of 47332 in exponential form is:

47332 = 22×118331

∴ So by taking common prime factors GCF of 47328 and 47332 is 4

Greatest Common Factor of 47328 and 47332 by matching factors method

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

Factors of 47332

List of positive integer factors of 47332 that divides 47332 without a remainder.

1,2,4,11833,23666,47332

Greatest Common Factor

We found the factors and prime factorization of 47328 and 47332. The biggest common factor number is the GCF number.
So the greatest common factor 47328 and 47332 is 4.

Also check out the Least Common Multiple of 47328 and 47332

Properties of GCF 47328 and 47332

(i) The GCF of 47328 and 47332 is associative

GCF of 47328 and 47332 = GCF of 47332 and 47328

Related Greatest Common Factor of 47328

Related Greatest Common Factor of 47332

Frequently Asked Questions on GCF of 47328 and 47332

1. What is the GCF of 47328 and 47332?

Answer: GCF of 47328 and 47332 is 4.

2. 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.

3. What are the Factors of 47332?

Answer: Factors of 47332 are 1, 2, 4, 11833, 23666, 47332. There are 6 integers that are factors of 47332. The greatest factor of 47332 is 47332.

4. How to Find the GCF of 47328 and 47332?

Answer:

Greatest Common Factor of 47328 and 47332 = 4

Step 1: Find the prime factorization of 47328

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

Step 2: Find the prime factorization of 47332

47332 = 2 x 2 x 11833

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 47328 and 47332 is 4