Greatest Common Factor of 714 and 716

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

Greatest common factor (GCF) of 714 and 716 is 2.

GCF(714,716) = 2

GCF of 714 and 716

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

GCF of:
and

Greatest Common Factor of 714 and 716

GCF of 714 and 716 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 716


2 716
2 358
179 179
1

Prime factors of 716 are 2,179. Prime factorization of 716 in exponential form is:

716 = 22×1791

∴ So by taking common prime factors GCF of 714 and 716 is 2

Greatest Common Factor of 714 and 716 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 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors and prime factorization of 714 and 716. The biggest common factor number is the GCF number.
So the greatest common factor 714 and 716 is 2.

Also check out the Least Common Multiple of 714 and 716

Properties of GCF 714 and 716

(i) The GCF of 714 and 716 is associative

GCF of 714 and 716 = GCF of 716 and 714

Related Greatest Common Factor of 714

Related Greatest Common Factor of 716

Frequently Asked Questions on GCF of 714 and 716

1. What is the GCF of 714 and 716?

Answer: GCF of 714 and 716 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 716?

Answer: Factors of 716 are 1, 2, 4, 179, 358, 716. There are 6 integers that are factors of 716. The greatest factor of 716 is 716.

4. How to Find the GCF of 714 and 716?

Answer:

Greatest Common Factor of 714 and 716 = 2

Step 1: Find the prime factorization of 714

714 = 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 716

716 = 2 x 2 x 179

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 716 is 2