Greatest Common Factor of 5382 and 5385

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 5382, 5385 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5382 and 5385 is 3.

GCF(5382,5385) = 3

GCF of 5382 and 5385

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

GCF of:
and

Greatest Common Factor of 5382 and 5385

GCF of 5382 and 5385 is 3

Prime Factorization of 5382


2 5382
3 2691
3 897
13 299
23 23
1

Prime factors of 5382 are 2,3,13,23. Prime factorization of 5382 in exponential form is:

5382 = 21×32×131×231

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

∴ So by taking common prime factors GCF of 5382 and 5385 is 3

Greatest Common Factor of 5382 and 5385 by matching factors method

Factors of 5382

List of positive integer factors of 5382 that divides 5382 without a remainder.

1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382

Factors of 5385

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

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

Greatest Common Factor

We found the factors and prime factorization of 5382 and 5385. The biggest common factor number is the GCF number.
So the greatest common factor 5382 and 5385 is 3.

Also check out the Least Common Multiple of 5382 and 5385

Properties of GCF 5382 and 5385

(i) The GCF of 5382 and 5385 is associative

GCF of 5382 and 5385 = GCF of 5385 and 5382

Related Greatest Common Factor of 5382

Related Greatest Common Factor of 5385

Frequently Asked Questions on GCF of 5382 and 5385

1. What is the GCF of 5382 and 5385?

Answer: GCF of 5382 and 5385 is 3.

2. What are the Factors of 5382?

Answer: Factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382. There are 24 integers that are factors of 5382. The greatest factor of 5382 is 5382.

3. 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.

4. How to Find the GCF of 5382 and 5385?

Answer:

Greatest Common Factor of 5382 and 5385 = 3

Step 1: Find the prime factorization of 5382

5382 = 2 x 3 x 3 x 13 x 23

Step 2: Find the prime factorization of 5385

5385 = 3 x 5 x 359

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 5382 and 5385 is 3