Greatest Common Factor of 2723 and 2729

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 2723, 2729 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2723 and 2729 is 1.

GCF(2723,2729) = 1

GCF of 2723 and 2729

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

GCF of:
and

Greatest Common Factor of 2723 and 2729

GCF of 2723 and 2729 is 1

Prime Factorization of 2723


7 2723
389 389
1

Prime factors of 2723 are 7,389. Prime factorization of 2723 in exponential form is:

2723 = 71×3891

Prime Factorization of 2729


2729 2729
1

Prime factors of 2729 are 2729. Prime factorization of 2729 in exponential form is:

2729 = 27291

∴ So by taking common prime factors GCF of 2723 and 2729 is 1

Greatest Common Factor of 2723 and 2729 by matching factors method

Factors of 2723

List of positive integer factors of 2723 that divides 2723 without a remainder.

1,7,389,2723

Factors of 2729

List of positive integer factors of 2729 that divides 2729 without a remainder.

1,2729

Greatest Common Factor

We found the factors and prime factorization of 2723 and 2729. The biggest common factor number is the GCF number.
So the greatest common factor 2723 and 2729 is 1.

Also check out the Least Common Multiple of 2723 and 2729

Properties of GCF 2723 and 2729

(i) The GCF of 2723 and 2729 is associative

GCF of 2723 and 2729 = GCF of 2729 and 2723

Frequently Asked Questions on GCF of 2723 and 2729

1. What is the GCF of 2723 and 2729?

Answer: GCF of 2723 and 2729 is 1.

2. What are the Factors of 2723?

Answer: Factors of 2723 are 1, 7, 389, 2723. There are 4 integers that are factors of 2723. The greatest factor of 2723 is 2723.

3. What are the Factors of 2729?

Answer: Factors of 2729 are 1, 2729. There are 2 integers that are factors of 2729. The greatest factor of 2729 is 2729.

4. How to Find the GCF of 2723 and 2729?

Answer:

Greatest Common Factor of 2723 and 2729 = 1

Step 1: Find the prime factorization of 2723

2723 = 7 x 389

Step 2: Find the prime factorization of 2729

2729 = 2729

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 2723 and 2729 is 1