Greatest Common Factor of 5338 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 5338, 5346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5338 and 5346 is 2.

GCF(5338,5346) = 2

GCF of 5338 and 5346

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

GCF of:
and

Greatest Common Factor of 5338 and 5346

GCF of 5338 and 5346 is 2

Prime Factorization of 5338


2 5338
17 2669
157 157
1

Prime factors of 5338 are 2,17,157. Prime factorization of 5338 in exponential form is:

5338 = 21×171×1571

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 5338 and 5346 is 2

Greatest Common Factor of 5338 and 5346 by matching factors method

Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1,2,17,34,157,314,2669,5338

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 5338 and 5346. The biggest common factor number is the GCF number.
So the greatest common factor 5338 and 5346 is 2.

Also check out the Least Common Multiple of 5338 and 5346

Properties of GCF 5338 and 5346

(i) The GCF of 5338 and 5346 is associative

GCF of 5338 and 5346 = GCF of 5346 and 5338

Related Greatest Common Factor of 5338

Related Greatest Common Factor of 5346

Frequently Asked Questions on GCF of 5338 and 5346

1. What is the GCF of 5338 and 5346?

Answer: GCF of 5338 and 5346 is 2.

2. What are the Factors of 5338?

Answer: Factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338. There are 8 integers that are factors of 5338. The greatest factor of 5338 is 5338.

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 5338 and 5346?

Answer:

Greatest Common Factor of 5338 and 5346 = 2

Step 1: Find the prime factorization of 5338

5338 = 2 x 17 x 157

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 = 2

Step 4: Therefore, the greatest common factor of 5338 and 5346 is 2