Greatest Common Factor of 5390 and 5397

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, 5397 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5390 and 5397 is 7.

GCF(5390,5397) = 7

GCF of 5390 and 5397

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

GCF of:
and

Greatest Common Factor of 5390 and 5397

GCF of 5390 and 5397 is 7

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 5397


3 5397
7 1799
257 257
1

Prime factors of 5397 are 3,7,257. Prime factorization of 5397 in exponential form is:

5397 = 31×71×2571

∴ So by taking common prime factors GCF of 5390 and 5397 is 7

Greatest Common Factor of 5390 and 5397 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 5397

List of positive integer factors of 5397 that divides 5397 without a remainder.

1,3,7,21,257,771,1799,5397

Greatest Common Factor

We found the factors and prime factorization of 5390 and 5397. The biggest common factor number is the GCF number.
So the greatest common factor 5390 and 5397 is 7.

Also check out the Least Common Multiple of 5390 and 5397

Properties of GCF 5390 and 5397

(i) The GCF of 5390 and 5397 is associative

GCF of 5390 and 5397 = GCF of 5397 and 5390

Related Greatest Common Factor of 5390

Related Greatest Common Factor of 5397

Frequently Asked Questions on GCF of 5390 and 5397

1. What is the GCF of 5390 and 5397?

Answer: GCF of 5390 and 5397 is 7.

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 5397?

Answer: Factors of 5397 are 1, 3, 7, 21, 257, 771, 1799, 5397. There are 8 integers that are factors of 5397. The greatest factor of 5397 is 5397.

4. How to Find the GCF of 5390 and 5397?

Answer:

Greatest Common Factor of 5390 and 5397 = 7

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 5397

5397 = 3 x 7 x 257

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5390 and 5397 is 7