Greatest Common Factor of 718 and 726

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 718, 726 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 718 and 726 is 2.

GCF(718,726) = 2

GCF of 718 and 726

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

GCF of:
and

Greatest Common Factor of 718 and 726

GCF of 718 and 726 is 2

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

Prime Factorization of 726


2 726
3 363
11 121
11 11
1

Prime factors of 726 are 2,3,11. Prime factorization of 726 in exponential form is:

726 = 21×31×112

∴ So by taking common prime factors GCF of 718 and 726 is 2

Greatest Common Factor of 718 and 726 by matching factors method

Factors of 718

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

1,2,359,718

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors and prime factorization of 718 and 726. The biggest common factor number is the GCF number.
So the greatest common factor 718 and 726 is 2.

Also check out the Least Common Multiple of 718 and 726

Properties of GCF 718 and 726

(i) The GCF of 718 and 726 is associative

GCF of 718 and 726 = GCF of 726 and 718

Related Greatest Common Factor of 718

Related Greatest Common Factor of 726

Frequently Asked Questions on GCF of 718 and 726

1. What is the GCF of 718 and 726?

Answer: GCF of 718 and 726 is 2.

2. 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.

3. What are the Factors of 726?

Answer: Factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. There are 12 integers that are factors of 726. The greatest factor of 726 is 726.

4. How to Find the GCF of 718 and 726?

Answer:

Greatest Common Factor of 718 and 726 = 2

Step 1: Find the prime factorization of 718

718 = 2 x 359

Step 2: Find the prime factorization of 726

726 = 2 x 3 x 11 x 11

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 718 and 726 is 2