Greatest Common Factor of 5396 and 5399

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 5396, 5399 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5396 and 5399 is 1.

GCF(5396,5399) = 1

GCF of 5396 and 5399

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

GCF of:
and

Greatest Common Factor of 5396 and 5399

GCF of 5396 and 5399 is 1

Prime Factorization of 5396


2 5396
2 2698
19 1349
71 71
1

Prime factors of 5396 are 2,19,71. Prime factorization of 5396 in exponential form is:

5396 = 22×191×711

Prime Factorization of 5399


5399 5399
1

Prime factors of 5399 are 5399. Prime factorization of 5399 in exponential form is:

5399 = 53991

∴ So by taking common prime factors GCF of 5396 and 5399 is 1

Greatest Common Factor of 5396 and 5399 by matching factors method

Factors of 5396

List of positive integer factors of 5396 that divides 5396 without a remainder.

1,2,4,19,38,71,76,142,284,1349,2698,5396

Factors of 5399

List of positive integer factors of 5399 that divides 5399 without a remainder.

1,5399

Greatest Common Factor

We found the factors and prime factorization of 5396 and 5399. The biggest common factor number is the GCF number.
So the greatest common factor 5396 and 5399 is 1.

Also check out the Least Common Multiple of 5396 and 5399

Properties of GCF 5396 and 5399

(i) The GCF of 5396 and 5399 is associative

GCF of 5396 and 5399 = GCF of 5399 and 5396

Frequently Asked Questions on GCF of 5396 and 5399

1. What is the GCF of 5396 and 5399?

Answer: GCF of 5396 and 5399 is 1.

2. What are the Factors of 5396?

Answer: Factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396. There are 12 integers that are factors of 5396. The greatest factor of 5396 is 5396.

3. What are the Factors of 5399?

Answer: Factors of 5399 are 1, 5399. There are 2 integers that are factors of 5399. The greatest factor of 5399 is 5399.

4. How to Find the GCF of 5396 and 5399?

Answer:

Greatest Common Factor of 5396 and 5399 = 1

Step 1: Find the prime factorization of 5396

5396 = 2 x 2 x 19 x 71

Step 2: Find the prime factorization of 5399

5399 = 5399

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5396 and 5399 is 1