Greatest Common Factor of 5328 and 5334

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 5328, 5334 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5328 and 5334 is 6.

GCF(5328,5334) = 6

GCF of 5328 and 5334

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

GCF of:
and

Greatest Common Factor of 5328 and 5334

GCF of 5328 and 5334 is 6

Prime Factorization of 5328


2 5328
2 2664
2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 5328 are 2,3,37. Prime factorization of 5328 in exponential form is:

5328 = 24×32×371

Prime Factorization of 5334


2 5334
3 2667
7 889
127 127
1

Prime factors of 5334 are 2,3,7,127. Prime factorization of 5334 in exponential form is:

5334 = 21×31×71×1271

∴ So by taking common prime factors GCF of 5328 and 5334 is 6

Greatest Common Factor of 5328 and 5334 by matching factors method

Factors of 5328

List of positive integer factors of 5328 that divides 5328 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328

Factors of 5334

List of positive integer factors of 5334 that divides 5334 without a remainder.

1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334

Greatest Common Factor

We found the factors and prime factorization of 5328 and 5334. The biggest common factor number is the GCF number.
So the greatest common factor 5328 and 5334 is 6.

Also check out the Least Common Multiple of 5328 and 5334

Properties of GCF 5328 and 5334

(i) The GCF of 5328 and 5334 is associative

GCF of 5328 and 5334 = GCF of 5334 and 5328

Related Greatest Common Factor of 5328

Related Greatest Common Factor of 5334

Frequently Asked Questions on GCF of 5328 and 5334

1. What is the GCF of 5328 and 5334?

Answer: GCF of 5328 and 5334 is 6.

2. What are the Factors of 5328?

Answer: Factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328. There are 30 integers that are factors of 5328. The greatest factor of 5328 is 5328.

3. What are the Factors of 5334?

Answer: Factors of 5334 are 1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334. There are 16 integers that are factors of 5334. The greatest factor of 5334 is 5334.

4. How to Find the GCF of 5328 and 5334?

Answer:

Greatest Common Factor of 5328 and 5334 = 6

Step 1: Find the prime factorization of 5328

5328 = 2 x 2 x 2 x 2 x 3 x 3 x 37

Step 2: Find the prime factorization of 5334

5334 = 2 x 3 x 7 x 127

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 5328 and 5334 is 6