Greatest Common Factor of 5390 and 5395

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 5390, 5395 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5390 and 5395 is 5.

GCF(5390,5395) = 5

GCF of 5390 and 5395

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

GCF of:
and

Greatest Common Factor of 5390 and 5395

GCF of 5390 and 5395 is 5

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

Prime Factorization of 5395


5 5395
13 1079
83 83
1

Prime factors of 5395 are 5,13,83. Prime factorization of 5395 in exponential form is:

5395 = 51×131×831

∴ So by taking common prime factors GCF of 5390 and 5395 is 5

Greatest Common Factor of 5390 and 5395 by matching factors method

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

Factors of 5395

List of positive integer factors of 5395 that divides 5395 without a remainder.

1,5,13,65,83,415,1079,5395

Greatest Common Factor

We found the factors and prime factorization of 5390 and 5395. The biggest common factor number is the GCF number.
So the greatest common factor 5390 and 5395 is 5.

Also check out the Least Common Multiple of 5390 and 5395

Properties of GCF 5390 and 5395

(i) The GCF of 5390 and 5395 is associative

GCF of 5390 and 5395 = GCF of 5395 and 5390

Related Greatest Common Factor of 5390

Related Greatest Common Factor of 5395

Frequently Asked Questions on GCF of 5390 and 5395

1. What is the GCF of 5390 and 5395?

Answer: GCF of 5390 and 5395 is 5.

2. 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.

3. What are the Factors of 5395?

Answer: Factors of 5395 are 1, 5, 13, 65, 83, 415, 1079, 5395. There are 8 integers that are factors of 5395. The greatest factor of 5395 is 5395.

4. How to Find the GCF of 5390 and 5395?

Answer:

Greatest Common Factor of 5390 and 5395 = 5

Step 1: Find the prime factorization of 5390

5390 = 2 x 5 x 7 x 7 x 11

Step 2: Find the prime factorization of 5395

5395 = 5 x 13 x 83

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5390 and 5395 is 5