Greatest Common Factor of 714 and 719

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

Greatest common factor (GCF) of 714 and 719 is 1.

GCF(714,719) = 1

GCF of 714 and 719

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

GCF of:
and

Greatest Common Factor of 714 and 719

GCF of 714 and 719 is 1

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 719


719 719
1

Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:

719 = 7191

∴ So by taking common prime factors GCF of 714 and 719 is 1

Greatest Common Factor of 714 and 719 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 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors and prime factorization of 714 and 719. The biggest common factor number is the GCF number.
So the greatest common factor 714 and 719 is 1.

Also check out the Least Common Multiple of 714 and 719

Properties of GCF 714 and 719

(i) The GCF of 714 and 719 is associative

GCF of 714 and 719 = GCF of 719 and 714

Related Greatest Common Factor of 714

Related Greatest Common Factor of 719

Frequently Asked Questions on GCF of 714 and 719

1. What is the GCF of 714 and 719?

Answer: GCF of 714 and 719 is 1.

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 719?

Answer: Factors of 719 are 1, 719. There are 2 integers that are factors of 719. The greatest factor of 719 is 719.

4. How to Find the GCF of 714 and 719?

Answer:

Greatest Common Factor of 714 and 719 = 1

Step 1: Find the prime factorization of 714

714 = 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 719

719 = 719

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 714 and 719 is 1