Greatest Common Factor of 713 and 714

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 713, 714 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 713 and 714 is 1.

GCF(713,714) = 1

GCF of 713 and 714

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

GCF of:
and

Greatest Common Factor of 713 and 714

GCF of 713 and 714 is 1

Prime Factorization of 713


23 713
31 31
1

Prime factors of 713 are 23,31. Prime factorization of 713 in exponential form is:

713 = 231×311

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

∴ So by taking common prime factors GCF of 713 and 714 is 1

Greatest Common Factor of 713 and 714 by matching factors method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

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

Greatest Common Factor

We found the factors and prime factorization of 713 and 714. The biggest common factor number is the GCF number.
So the greatest common factor 713 and 714 is 1.

Also check out the Least Common Multiple of 713 and 714

Properties of GCF 713 and 714

(i) The GCF of 713 and 714 is associative

GCF of 713 and 714 = GCF of 714 and 713

Related Greatest Common Factor of 713

Related Greatest Common Factor of 714

Frequently Asked Questions on GCF of 713 and 714

1. What is the GCF of 713 and 714?

Answer: GCF of 713 and 714 is 1.

2. What are the Factors of 713?

Answer: Factors of 713 are 1, 23, 31, 713. There are 4 integers that are factors of 713. The greatest factor of 713 is 713.

3. 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.

4. How to Find the GCF of 713 and 714?

Answer:

Greatest Common Factor of 713 and 714 = 1

Step 1: Find the prime factorization of 713

713 = 23 x 31

Step 2: Find the prime factorization of 714

714 = 2 x 3 x 7 x 17

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 713 and 714 is 1