Greatest Common Factor of 4720 and 4728

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 4720, 4728 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4720 and 4728 is 8.

GCF(4720,4728) = 8

GCF of 4720 and 4728

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

GCF of:
and

Greatest Common Factor of 4720 and 4728

GCF of 4720 and 4728 is 8

Prime Factorization of 4720


2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 4720 are 2,5,59. Prime factorization of 4720 in exponential form is:

4720 = 24×51×591

Prime Factorization of 4728


2 4728
2 2364
2 1182
3 591
197 197
1

Prime factors of 4728 are 2,3,197. Prime factorization of 4728 in exponential form is:

4728 = 23×31×1971

∴ So by taking common prime factors GCF of 4720 and 4728 is 8

Greatest Common Factor of 4720 and 4728 by matching factors method

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720

Factors of 4728

List of positive integer factors of 4728 that divides 4728 without a remainder.

1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728

Greatest Common Factor

We found the factors and prime factorization of 4720 and 4728. The biggest common factor number is the GCF number.
So the greatest common factor 4720 and 4728 is 8.

Also check out the Least Common Multiple of 4720 and 4728

Properties of GCF 4720 and 4728

(i) The GCF of 4720 and 4728 is associative

GCF of 4720 and 4728 = GCF of 4728 and 4720

Related Greatest Common Factor of 4720

Related Greatest Common Factor of 4728

Frequently Asked Questions on GCF of 4720 and 4728

1. What is the GCF of 4720 and 4728?

Answer: GCF of 4720 and 4728 is 8.

2. What are the Factors of 4720?

Answer: Factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720. There are 20 integers that are factors of 4720. The greatest factor of 4720 is 4720.

3. What are the Factors of 4728?

Answer: Factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728. There are 16 integers that are factors of 4728. The greatest factor of 4728 is 4728.

4. How to Find the GCF of 4720 and 4728?

Answer:

Greatest Common Factor of 4720 and 4728 = 8

Step 1: Find the prime factorization of 4720

4720 = 2 x 2 x 2 x 2 x 5 x 59

Step 2: Find the prime factorization of 4728

4728 = 2 x 2 x 2 x 3 x 197

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4720 and 4728 is 8