Greatest Common Factor of 4718 and 4726

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 4718, 4726 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4718 and 4726 is 2.

GCF(4718,4726) = 2

GCF of 4718 and 4726

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

GCF of:
and

Greatest Common Factor of 4718 and 4726

GCF of 4718 and 4726 is 2

Prime Factorization of 4718


2 4718
7 2359
337 337
1

Prime factors of 4718 are 2,7,337. Prime factorization of 4718 in exponential form is:

4718 = 21×71×3371

Prime Factorization of 4726


2 4726
17 2363
139 139
1

Prime factors of 4726 are 2,17,139. Prime factorization of 4726 in exponential form is:

4726 = 21×171×1391

∴ So by taking common prime factors GCF of 4718 and 4726 is 2

Greatest Common Factor of 4718 and 4726 by matching factors method

Factors of 4718

List of positive integer factors of 4718 that divides 4718 without a remainder.

1,2,7,14,337,674,2359,4718

Factors of 4726

List of positive integer factors of 4726 that divides 4726 without a remainder.

1,2,17,34,139,278,2363,4726

Greatest Common Factor

We found the factors and prime factorization of 4718 and 4726. The biggest common factor number is the GCF number.
So the greatest common factor 4718 and 4726 is 2.

Also check out the Least Common Multiple of 4718 and 4726

Properties of GCF 4718 and 4726

(i) The GCF of 4718 and 4726 is associative

GCF of 4718 and 4726 = GCF of 4726 and 4718

Related Greatest Common Factor of 4718

Related Greatest Common Factor of 4726

Frequently Asked Questions on GCF of 4718 and 4726

1. What is the GCF of 4718 and 4726?

Answer: GCF of 4718 and 4726 is 2.

2. What are the Factors of 4718?

Answer: Factors of 4718 are 1, 2, 7, 14, 337, 674, 2359, 4718. There are 8 integers that are factors of 4718. The greatest factor of 4718 is 4718.

3. What are the Factors of 4726?

Answer: Factors of 4726 are 1, 2, 17, 34, 139, 278, 2363, 4726. There are 8 integers that are factors of 4726. The greatest factor of 4726 is 4726.

4. How to Find the GCF of 4718 and 4726?

Answer:

Greatest Common Factor of 4718 and 4726 = 2

Step 1: Find the prime factorization of 4718

4718 = 2 x 7 x 337

Step 2: Find the prime factorization of 4726

4726 = 2 x 17 x 139

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 4718 and 4726 is 2