Greatest Common Factor of 5385 and 5388

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 5385, 5388 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5385 and 5388 is 3.

GCF(5385,5388) = 3

GCF of 5385 and 5388

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

GCF of:
and

Greatest Common Factor of 5385 and 5388

GCF of 5385 and 5388 is 3

Prime Factorization of 5385


3 5385
5 1795
359 359
1

Prime factors of 5385 are 3,5,359. Prime factorization of 5385 in exponential form is:

5385 = 31×51×3591

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

∴ So by taking common prime factors GCF of 5385 and 5388 is 3

Greatest Common Factor of 5385 and 5388 by matching factors method

Factors of 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1,3,5,15,359,1077,1795,5385

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

Greatest Common Factor

We found the factors and prime factorization of 5385 and 5388. The biggest common factor number is the GCF number.
So the greatest common factor 5385 and 5388 is 3.

Also check out the Least Common Multiple of 5385 and 5388

Properties of GCF 5385 and 5388

(i) The GCF of 5385 and 5388 is associative

GCF of 5385 and 5388 = GCF of 5388 and 5385

Related Greatest Common Factor of 5385

Related Greatest Common Factor of 5388

Frequently Asked Questions on GCF of 5385 and 5388

1. What is the GCF of 5385 and 5388?

Answer: GCF of 5385 and 5388 is 3.

2. What are the Factors of 5385?

Answer: Factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385. There are 8 integers that are factors of 5385. The greatest factor of 5385 is 5385.

3. 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.

4. How to Find the GCF of 5385 and 5388?

Answer:

Greatest Common Factor of 5385 and 5388 = 3

Step 1: Find the prime factorization of 5385

5385 = 3 x 5 x 359

Step 2: Find the prime factorization of 5388

5388 = 2 x 2 x 3 x 449

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5385 and 5388 is 3