Greatest Common Factor of 4716 and 4724

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, 4724 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4716 and 4724 is 4.

GCF(4716,4724) = 4

GCF of 4716 and 4724

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

GCF of:
and

Greatest Common Factor of 4716 and 4724

GCF of 4716 and 4724 is 4

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 4724


2 4724
2 2362
1181 1181
1

Prime factors of 4724 are 2,1181. Prime factorization of 4724 in exponential form is:

4724 = 22×11811

∴ So by taking common prime factors GCF of 4716 and 4724 is 4

Greatest Common Factor of 4716 and 4724 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 4724

List of positive integer factors of 4724 that divides 4724 without a remainder.

1,2,4,1181,2362,4724

Greatest Common Factor

We found the factors and prime factorization of 4716 and 4724. The biggest common factor number is the GCF number.
So the greatest common factor 4716 and 4724 is 4.

Also check out the Least Common Multiple of 4716 and 4724

Properties of GCF 4716 and 4724

(i) The GCF of 4716 and 4724 is associative

GCF of 4716 and 4724 = GCF of 4724 and 4716

Related Greatest Common Factor of 4716

Related Greatest Common Factor of 4724

Frequently Asked Questions on GCF of 4716 and 4724

1. What is the GCF of 4716 and 4724?

Answer: GCF of 4716 and 4724 is 4.

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 4724?

Answer: Factors of 4724 are 1, 2, 4, 1181, 2362, 4724. There are 6 integers that are factors of 4724. The greatest factor of 4724 is 4724.

4. How to Find the GCF of 4716 and 4724?

Answer:

Greatest Common Factor of 4716 and 4724 = 4

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 4724

4724 = 2 x 2 x 1181

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4716 and 4724 is 4