Greatest Common Factor of 5439 and 5446

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 5439, 5446 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5439 and 5446 is 7.

GCF(5439,5446) = 7

GCF of 5439 and 5446

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

GCF of:
and

Greatest Common Factor of 5439 and 5446

GCF of 5439 and 5446 is 7

Prime Factorization of 5439


3 5439
7 1813
7 259
37 37
1

Prime factors of 5439 are 3,7,37. Prime factorization of 5439 in exponential form is:

5439 = 31×72×371

Prime Factorization of 5446


2 5446
7 2723
389 389
1

Prime factors of 5446 are 2,7,389. Prime factorization of 5446 in exponential form is:

5446 = 21×71×3891

∴ So by taking common prime factors GCF of 5439 and 5446 is 7

Greatest Common Factor of 5439 and 5446 by matching factors method

Factors of 5439

List of positive integer factors of 5439 that divides 5439 without a remainder.

1,3,7,21,37,49,111,147,259,777,1813,5439

Factors of 5446

List of positive integer factors of 5446 that divides 5446 without a remainder.

1,2,7,14,389,778,2723,5446

Greatest Common Factor

We found the factors and prime factorization of 5439 and 5446. The biggest common factor number is the GCF number.
So the greatest common factor 5439 and 5446 is 7.

Also check out the Least Common Multiple of 5439 and 5446

Properties of GCF 5439 and 5446

(i) The GCF of 5439 and 5446 is associative

GCF of 5439 and 5446 = GCF of 5446 and 5439

Related Greatest Common Factor of 5439

Related Greatest Common Factor of 5446

Frequently Asked Questions on GCF of 5439 and 5446

1. What is the GCF of 5439 and 5446?

Answer: GCF of 5439 and 5446 is 7.

2. What are the Factors of 5439?

Answer: Factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439. There are 12 integers that are factors of 5439. The greatest factor of 5439 is 5439.

3. What are the Factors of 5446?

Answer: Factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446. There are 8 integers that are factors of 5446. The greatest factor of 5446 is 5446.

4. How to Find the GCF of 5439 and 5446?

Answer:

Greatest Common Factor of 5439 and 5446 = 7

Step 1: Find the prime factorization of 5439

5439 = 3 x 7 x 7 x 37

Step 2: Find the prime factorization of 5446

5446 = 2 x 7 x 389

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5439 and 5446 is 7