Greatest Common Factor of 5388 and 5394

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 5388, 5394 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5388 and 5394 is 6.

GCF(5388,5394) = 6

GCF of 5388 and 5394

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

GCF of:
and

Greatest Common Factor of 5388 and 5394

GCF of 5388 and 5394 is 6

Prime Factorization of 5388


2 5388
2 2694
3 1347
449 449
1

Prime factors of 5388 are 2,3,449. Prime factorization of 5388 in exponential form is:

5388 = 22×31×4491

Prime Factorization of 5394


2 5394
3 2697
29 899
31 31
1

Prime factors of 5394 are 2,3,29,31. Prime factorization of 5394 in exponential form is:

5394 = 21×31×291×311

∴ So by taking common prime factors GCF of 5388 and 5394 is 6

Greatest Common Factor of 5388 and 5394 by matching factors method

Factors of 5388

List of positive integer factors of 5388 that divides 5388 without a remainder.

1,2,3,4,6,12,449,898,1347,1796,2694,5388

Factors of 5394

List of positive integer factors of 5394 that divides 5394 without a remainder.

1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394

Greatest Common Factor

We found the factors and prime factorization of 5388 and 5394. The biggest common factor number is the GCF number.
So the greatest common factor 5388 and 5394 is 6.

Also check out the Least Common Multiple of 5388 and 5394

Properties of GCF 5388 and 5394

(i) The GCF of 5388 and 5394 is associative

GCF of 5388 and 5394 = GCF of 5394 and 5388

Related Greatest Common Factor of 5388

Related Greatest Common Factor of 5394

Frequently Asked Questions on GCF of 5388 and 5394

1. What is the GCF of 5388 and 5394?

Answer: GCF of 5388 and 5394 is 6.

2. What are the Factors of 5388?

Answer: Factors of 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388. There are 12 integers that are factors of 5388. The greatest factor of 5388 is 5388.

3. What are the Factors of 5394?

Answer: Factors of 5394 are 1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394. There are 16 integers that are factors of 5394. The greatest factor of 5394 is 5394.

4. How to Find the GCF of 5388 and 5394?

Answer:

Greatest Common Factor of 5388 and 5394 = 6

Step 1: Find the prime factorization of 5388

5388 = 2 x 2 x 3 x 449

Step 2: Find the prime factorization of 5394

5394 = 2 x 3 x 29 x 31

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 5388 and 5394 is 6