Greatest Common Factor of 5346 and 5354

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 5346, 5354 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5346 and 5354 is 2.

GCF(5346,5354) = 2

GCF of 5346 and 5354

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

GCF of:
and

Greatest Common Factor of 5346 and 5354

GCF of 5346 and 5354 is 2

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

Prime Factorization of 5354


2 5354
2677 2677
1

Prime factors of 5354 are 2,2677. Prime factorization of 5354 in exponential form is:

5354 = 21×26771

∴ So by taking common prime factors GCF of 5346 and 5354 is 2

Greatest Common Factor of 5346 and 5354 by matching factors method

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

Factors of 5354

List of positive integer factors of 5354 that divides 5354 without a remainder.

1,2,2677,5354

Greatest Common Factor

We found the factors and prime factorization of 5346 and 5354. The biggest common factor number is the GCF number.
So the greatest common factor 5346 and 5354 is 2.

Also check out the Least Common Multiple of 5346 and 5354

Properties of GCF 5346 and 5354

(i) The GCF of 5346 and 5354 is associative

GCF of 5346 and 5354 = GCF of 5354 and 5346

Related Greatest Common Factor of 5346

Related Greatest Common Factor of 5354

Frequently Asked Questions on GCF of 5346 and 5354

1. What is the GCF of 5346 and 5354?

Answer: GCF of 5346 and 5354 is 2.

2. 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.

3. What are the Factors of 5354?

Answer: Factors of 5354 are 1, 2, 2677, 5354. There are 4 integers that are factors of 5354. The greatest factor of 5354 is 5354.

4. How to Find the GCF of 5346 and 5354?

Answer:

Greatest Common Factor of 5346 and 5354 = 2

Step 1: Find the prime factorization of 5346

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

Step 2: Find the prime factorization of 5354

5354 = 2 x 2677

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 5346 and 5354 is 2