Greatest Common Factor of 2714 and 2721

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 2714, 2721 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2714 and 2721 is 1.

GCF(2714,2721) = 1

GCF of 2714 and 2721

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

GCF of:
and

Greatest Common Factor of 2714 and 2721

GCF of 2714 and 2721 is 1

Prime Factorization of 2714


2 2714
23 1357
59 59
1

Prime factors of 2714 are 2,23,59. Prime factorization of 2714 in exponential form is:

2714 = 21×231×591

Prime Factorization of 2721


3 2721
907 907
1

Prime factors of 2721 are 3,907. Prime factorization of 2721 in exponential form is:

2721 = 31×9071

∴ So by taking common prime factors GCF of 2714 and 2721 is 1

Greatest Common Factor of 2714 and 2721 by matching factors method

Factors of 2714

List of positive integer factors of 2714 that divides 2714 without a remainder.

1,2,23,46,59,118,1357,2714

Factors of 2721

List of positive integer factors of 2721 that divides 2721 without a remainder.

1,3,907,2721

Greatest Common Factor

We found the factors and prime factorization of 2714 and 2721. The biggest common factor number is the GCF number.
So the greatest common factor 2714 and 2721 is 1.

Also check out the Least Common Multiple of 2714 and 2721

Properties of GCF 2714 and 2721

(i) The GCF of 2714 and 2721 is associative

GCF of 2714 and 2721 = GCF of 2721 and 2714

Related Greatest Common Factor of 2714

Related Greatest Common Factor of 2721

Frequently Asked Questions on GCF of 2714 and 2721

1. What is the GCF of 2714 and 2721?

Answer: GCF of 2714 and 2721 is 1.

2. What are the Factors of 2714?

Answer: Factors of 2714 are 1, 2, 23, 46, 59, 118, 1357, 2714. There are 8 integers that are factors of 2714. The greatest factor of 2714 is 2714.

3. What are the Factors of 2721?

Answer: Factors of 2721 are 1, 3, 907, 2721. There are 4 integers that are factors of 2721. The greatest factor of 2721 is 2721.

4. How to Find the GCF of 2714 and 2721?

Answer:

Greatest Common Factor of 2714 and 2721 = 1

Step 1: Find the prime factorization of 2714

2714 = 2 x 23 x 59

Step 2: Find the prime factorization of 2721

2721 = 3 x 907

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 2714 and 2721 is 1