Greatest Common Factor of 5382 and 5390

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, 5390 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5382 and 5390 is 2.

GCF(5382,5390) = 2

GCF of 5382 and 5390

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

GCF of:
and

Greatest Common Factor of 5382 and 5390

GCF of 5382 and 5390 is 2

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 5390


2 5390
5 2695
7 539
7 77
11 11
1

Prime factors of 5390 are 2,5,7,11. Prime factorization of 5390 in exponential form is:

5390 = 21×51×72×111

∴ So by taking common prime factors GCF of 5382 and 5390 is 2

Greatest Common Factor of 5382 and 5390 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 5390

List of positive integer factors of 5390 that divides 5390 without a remainder.

1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390

Greatest Common Factor

We found the factors and prime factorization of 5382 and 5390. The biggest common factor number is the GCF number.
So the greatest common factor 5382 and 5390 is 2.

Also check out the Least Common Multiple of 5382 and 5390

Properties of GCF 5382 and 5390

(i) The GCF of 5382 and 5390 is associative

GCF of 5382 and 5390 = GCF of 5390 and 5382

Related Greatest Common Factor of 5382

Related Greatest Common Factor of 5390

Frequently Asked Questions on GCF of 5382 and 5390

1. What is the GCF of 5382 and 5390?

Answer: GCF of 5382 and 5390 is 2.

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 5390?

Answer: Factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390. There are 24 integers that are factors of 5390. The greatest factor of 5390 is 5390.

4. How to Find the GCF of 5382 and 5390?

Answer:

Greatest Common Factor of 5382 and 5390 = 2

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 5390

5390 = 2 x 5 x 7 x 7 x 11

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5382 and 5390 is 2