Greatest Common Factor of 713 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 713, 716 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 713 and 716 is 1.

GCF(713,716) = 1

GCF of 713 and 716

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

GCF of:
and

Greatest Common Factor of 713 and 716

GCF of 713 and 716 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 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 713 and 716 is 1

Greatest Common Factor of 713 and 716 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 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 713 and 716. The biggest common factor number is the GCF number.
So the greatest common factor 713 and 716 is 1.

Also check out the Least Common Multiple of 713 and 716

Properties of GCF 713 and 716

(i) The GCF of 713 and 716 is associative

GCF of 713 and 716 = GCF of 716 and 713

Related Greatest Common Factor of 713

Related Greatest Common Factor of 716

Frequently Asked Questions on GCF of 713 and 716

1. What is the GCF of 713 and 716?

Answer: GCF of 713 and 716 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 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 713 and 716?

Answer:

Greatest Common Factor of 713 and 716 = 1

Step 1: Find the prime factorization of 713

713 = 23 x 31

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 = = 1

Step 4: Therefore, the greatest common factor of 713 and 716 is 1