Greatest Common Factor of 5397 and 5403

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 5397, 5403 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5397 and 5403 is 3.

GCF(5397,5403) = 3

GCF of 5397 and 5403

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

GCF of:
and

Greatest Common Factor of 5397 and 5403

GCF of 5397 and 5403 is 3

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

Prime Factorization of 5403


3 5403
1801 1801
1

Prime factors of 5403 are 3,1801. Prime factorization of 5403 in exponential form is:

5403 = 31×18011

∴ So by taking common prime factors GCF of 5397 and 5403 is 3

Greatest Common Factor of 5397 and 5403 by matching factors method

Factors of 5397

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

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

Factors of 5403

List of positive integer factors of 5403 that divides 5403 without a remainder.

1,3,1801,5403

Greatest Common Factor

We found the factors and prime factorization of 5397 and 5403. The biggest common factor number is the GCF number.
So the greatest common factor 5397 and 5403 is 3.

Also check out the Least Common Multiple of 5397 and 5403

Properties of GCF 5397 and 5403

(i) The GCF of 5397 and 5403 is associative

GCF of 5397 and 5403 = GCF of 5403 and 5397

Related Greatest Common Factor of 5397

Related Greatest Common Factor of 5403

Frequently Asked Questions on GCF of 5397 and 5403

1. What is the GCF of 5397 and 5403?

Answer: GCF of 5397 and 5403 is 3.

2. 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.

3. What are the Factors of 5403?

Answer: Factors of 5403 are 1, 3, 1801, 5403. There are 4 integers that are factors of 5403. The greatest factor of 5403 is 5403.

4. How to Find the GCF of 5397 and 5403?

Answer:

Greatest Common Factor of 5397 and 5403 = 3

Step 1: Find the prime factorization of 5397

5397 = 3 x 7 x 257

Step 2: Find the prime factorization of 5403

5403 = 3 x 1801

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 5397 and 5403 is 3