Greatest Common Factor of 5339 and 5346

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 5339, 5346 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5339 and 5346 is 1.

GCF(5339,5346) = 1

GCF of 5339 and 5346

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

GCF of:
and

Greatest Common Factor of 5339 and 5346

GCF of 5339 and 5346 is 1

Prime Factorization of 5339


19 5339
281 281
1

Prime factors of 5339 are 19,281. Prime factorization of 5339 in exponential form is:

5339 = 191×2811

Prime Factorization of 5346


2 5346
3 2673
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 5346 are 2,3,11. Prime factorization of 5346 in exponential form is:

5346 = 21×35×111

∴ So by taking common prime factors GCF of 5339 and 5346 is 1

Greatest Common Factor of 5339 and 5346 by matching factors method

Factors of 5339

List of positive integer factors of 5339 that divides 5339 without a remainder.

1,19,281,5339

Factors of 5346

List of positive integer factors of 5346 that divides 5346 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346

Greatest Common Factor

We found the factors and prime factorization of 5339 and 5346. The biggest common factor number is the GCF number.
So the greatest common factor 5339 and 5346 is 1.

Also check out the Least Common Multiple of 5339 and 5346

Properties of GCF 5339 and 5346

(i) The GCF of 5339 and 5346 is associative

GCF of 5339 and 5346 = GCF of 5346 and 5339

Related Greatest Common Factor of 5339

Related Greatest Common Factor of 5346

Frequently Asked Questions on GCF of 5339 and 5346

1. What is the GCF of 5339 and 5346?

Answer: GCF of 5339 and 5346 is 1.

2. What are the Factors of 5339?

Answer: Factors of 5339 are 1, 19, 281, 5339. There are 4 integers that are factors of 5339. The greatest factor of 5339 is 5339.

3. What are the Factors of 5346?

Answer: Factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346. There are 24 integers that are factors of 5346. The greatest factor of 5346 is 5346.

4. How to Find the GCF of 5339 and 5346?

Answer:

Greatest Common Factor of 5339 and 5346 = 1

Step 1: Find the prime factorization of 5339

5339 = 19 x 281

Step 2: Find the prime factorization of 5346

5346 = 2 x 3 x 3 x 3 x 3 x 3 x 11

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 5339 and 5346 is 1