Greatest Common Factor of 4728 and 4734

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 4728, 4734 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4728 and 4734 is 6.

GCF(4728,4734) = 6

GCF of 4728 and 4734

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

GCF of:
and

Greatest Common Factor of 4728 and 4734

GCF of 4728 and 4734 is 6

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

Prime Factorization of 4734


2 4734
3 2367
3 789
263 263
1

Prime factors of 4734 are 2,3,263. Prime factorization of 4734 in exponential form is:

4734 = 21×32×2631

∴ So by taking common prime factors GCF of 4728 and 4734 is 6

Greatest Common Factor of 4728 and 4734 by matching factors method

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

Factors of 4734

List of positive integer factors of 4734 that divides 4734 without a remainder.

1,2,3,6,9,18,263,526,789,1578,2367,4734

Greatest Common Factor

We found the factors and prime factorization of 4728 and 4734. The biggest common factor number is the GCF number.
So the greatest common factor 4728 and 4734 is 6.

Also check out the Least Common Multiple of 4728 and 4734

Properties of GCF 4728 and 4734

(i) The GCF of 4728 and 4734 is associative

GCF of 4728 and 4734 = GCF of 4734 and 4728

Related Greatest Common Factor of 4728

Related Greatest Common Factor of 4734

Frequently Asked Questions on GCF of 4728 and 4734

1. What is the GCF of 4728 and 4734?

Answer: GCF of 4728 and 4734 is 6.

2. 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.

3. What are the Factors of 4734?

Answer: Factors of 4734 are 1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734. There are 12 integers that are factors of 4734. The greatest factor of 4734 is 4734.

4. How to Find the GCF of 4728 and 4734?

Answer:

Greatest Common Factor of 4728 and 4734 = 6

Step 1: Find the prime factorization of 4728

4728 = 2 x 2 x 2 x 3 x 197

Step 2: Find the prime factorization of 4734

4734 = 2 x 3 x 3 x 263

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4728 and 4734 is 6