Greatest Common Factor of 714 and 718

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 714, 718 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 714 and 718 is 2.

GCF(714,718) = 2

GCF of 714 and 718

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

GCF of:
and

Greatest Common Factor of 714 and 718

GCF of 714 and 718 is 2

Prime Factorization of 714


2 714
3 357
7 119
17 17
1

Prime factors of 714 are 2,3,7,17. Prime factorization of 714 in exponential form is:

714 = 21×31×71×171

Prime Factorization of 718


2 718
359 359
1

Prime factors of 718 are 2,359. Prime factorization of 718 in exponential form is:

718 = 21×3591

∴ So by taking common prime factors GCF of 714 and 718 is 2

Greatest Common Factor of 714 and 718 by matching factors method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors and prime factorization of 714 and 718. The biggest common factor number is the GCF number.
So the greatest common factor 714 and 718 is 2.

Also check out the Least Common Multiple of 714 and 718

Properties of GCF 714 and 718

(i) The GCF of 714 and 718 is associative

GCF of 714 and 718 = GCF of 718 and 714

Related Greatest Common Factor of 714

Related Greatest Common Factor of 718

Frequently Asked Questions on GCF of 714 and 718

1. What is the GCF of 714 and 718?

Answer: GCF of 714 and 718 is 2.

2. What are the Factors of 714?

Answer: Factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714. There are 16 integers that are factors of 714. The greatest factor of 714 is 714.

3. What are the Factors of 718?

Answer: Factors of 718 are 1, 2, 359, 718. There are 4 integers that are factors of 718. The greatest factor of 718 is 718.

4. How to Find the GCF of 714 and 718?

Answer:

Greatest Common Factor of 714 and 718 = 2

Step 1: Find the prime factorization of 714

714 = 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 718

718 = 2 x 359

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 714 and 718 is 2