Greatest Common Factor of 2731 and 2739

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 2731, 2739 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2731 and 2739 is 1.

GCF(2731,2739) = 1

GCF of 2731 and 2739

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

GCF of:
and

Greatest Common Factor of 2731 and 2739

GCF of 2731 and 2739 is 1

Prime Factorization of 2731


2731 2731
1

Prime factors of 2731 are 2731. Prime factorization of 2731 in exponential form is:

2731 = 27311

Prime Factorization of 2739


3 2739
11 913
83 83
1

Prime factors of 2739 are 3.Prime factorization of 2739 in exponential form is:

2739 = 31×111×831

∴ So by taking common prime factors GCF of 2731 and 2739 is 1

Greatest Common Factor of 2731 and 2739 by matching factors method

Factors of 2731

List of positive integer factors of 2731 that divides 2731 without a remainder.

1,2731

Factors of 2739

List of positive integer factors of 2739 that divides 2739 without a remainder.

1,3,11,33,83,249,913,2739

Greatest Common Factor

We found the factors and prime factorization of 2731 and 2739. The biggest common factor number is the GCF number.
So the greatest common factor 2731 and 2739 is 1.

Also check out the Least Common Multiple of 2731 and 2739

Properties of GCF 2731 and 2739

(i) The GCF of 2731 and 2739 is associative

GCF of 2731 and 2739 = GCF of 2739 and 2731

Related Greatest Common Factor of 2731

Related Greatest Common Factor of 2739

Frequently Asked Questions on GCF of 2731 and 2739

1. What is the GCF of 2731 and 2739?

Answer: GCF of 2731 and 2739 is 1.

2. What are the Factors of 2731?

Answer: Factors of 2731 are 1, 2731. There are 2 integers that are factors of 2731. The greatest factor of 2731 is 2731.

3. What are the Factors of 2739?

Answer: Factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739. There are 8 integers that are factors of 2739. The greatest factor of 2739 is 2739.

4. How to Find the GCF of 2731 and 2739?

Answer:

Greatest Common Factor of 2731 and 2739 = 1

Step 1: Find the prime factorization of 2731

2731 = 2731

Step 2: Find the prime factorization of 2739

2739 = 3 x 11 x 83

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 2731 and 2739 is 1