Greatest Common Factor of 4716 and 4723

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 4716, 4723 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4716 and 4723 is 1.

GCF(4716,4723) = 1

GCF of 4716 and 4723

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

GCF of:
and

Greatest Common Factor of 4716 and 4723

GCF of 4716 and 4723 is 1

Prime Factorization of 4716


2 4716
2 2358
3 1179
3 393
131 131
1

Prime factors of 4716 are 2,3,131. Prime factorization of 4716 in exponential form is:

4716 = 22×32×1311

Prime Factorization of 4723


4723 4723
1

Prime factors of 4723 are 4723. Prime factorization of 4723 in exponential form is:

4723 = 47231

∴ So by taking common prime factors GCF of 4716 and 4723 is 1

Greatest Common Factor of 4716 and 4723 by matching factors method

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716

Factors of 4723

List of positive integer factors of 4723 that divides 4723 without a remainder.

1,4723

Greatest Common Factor

We found the factors and prime factorization of 4716 and 4723. The biggest common factor number is the GCF number.
So the greatest common factor 4716 and 4723 is 1.

Also check out the Least Common Multiple of 4716 and 4723

Properties of GCF 4716 and 4723

(i) The GCF of 4716 and 4723 is associative

GCF of 4716 and 4723 = GCF of 4723 and 4716

Related Greatest Common Factor of 4716

Related Greatest Common Factor of 4723

Frequently Asked Questions on GCF of 4716 and 4723

1. What is the GCF of 4716 and 4723?

Answer: GCF of 4716 and 4723 is 1.

2. What are the Factors of 4716?

Answer: Factors of 4716 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716. There are 18 integers that are factors of 4716. The greatest factor of 4716 is 4716.

3. What are the Factors of 4723?

Answer: Factors of 4723 are 1, 4723. There are 2 integers that are factors of 4723. The greatest factor of 4723 is 4723.

4. How to Find the GCF of 4716 and 4723?

Answer:

Greatest Common Factor of 4716 and 4723 = 1

Step 1: Find the prime factorization of 4716

4716 = 2 x 2 x 3 x 3 x 131

Step 2: Find the prime factorization of 4723

4723 = 4723

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 4716 and 4723 is 1