Greatest Common Factor of 2708 and 2714

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 2708, 2714 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2708 and 2714 is 2.

GCF(2708,2714) = 2

GCF of 2708 and 2714

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

GCF of:
and

Greatest Common Factor of 2708 and 2714

GCF of 2708 and 2714 is 2

Prime Factorization of 2708


2 2708
2 1354
677 677
1

Prime factors of 2708 are 2,677. Prime factorization of 2708 in exponential form is:

2708 = 22×6771

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

∴ So by taking common prime factors GCF of 2708 and 2714 is 2

Greatest Common Factor of 2708 and 2714 by matching factors method

Factors of 2708

List of positive integer factors of 2708 that divides 2708 without a remainder.

1,2,4,677,1354,2708

Factors of 2714

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

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

Greatest Common Factor

We found the factors and prime factorization of 2708 and 2714. The biggest common factor number is the GCF number.
So the greatest common factor 2708 and 2714 is 2.

Also check out the Least Common Multiple of 2708 and 2714

Properties of GCF 2708 and 2714

(i) The GCF of 2708 and 2714 is associative

GCF of 2708 and 2714 = GCF of 2714 and 2708

Related Greatest Common Factor of 2708

Related Greatest Common Factor of 2714

Frequently Asked Questions on GCF of 2708 and 2714

1. What is the GCF of 2708 and 2714?

Answer: GCF of 2708 and 2714 is 2.

2. What are the Factors of 2708?

Answer: Factors of 2708 are 1, 2, 4, 677, 1354, 2708. There are 6 integers that are factors of 2708. The greatest factor of 2708 is 2708.

3. 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.

4. How to Find the GCF of 2708 and 2714?

Answer:

Greatest Common Factor of 2708 and 2714 = 2

Step 1: Find the prime factorization of 2708

2708 = 2 x 2 x 677

Step 2: Find the prime factorization of 2714

2714 = 2 x 23 x 59

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 2708 and 2714 is 2