Greatest Common Factor of 4734 and 4737

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 4734, 4737 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4734 and 4737 is 3.

GCF(4734,4737) = 3

GCF of 4734 and 4737

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

GCF of:
and

Greatest Common Factor of 4734 and 4737

GCF of 4734 and 4737 is 3

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

Prime Factorization of 4737


3 4737
1579 1579
1

Prime factors of 4737 are 3,1579. Prime factorization of 4737 in exponential form is:

4737 = 31×15791

∴ So by taking common prime factors GCF of 4734 and 4737 is 3

Greatest Common Factor of 4734 and 4737 by matching factors method

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

Factors of 4737

List of positive integer factors of 4737 that divides 4737 without a remainder.

1,3,1579,4737

Greatest Common Factor

We found the factors and prime factorization of 4734 and 4737. The biggest common factor number is the GCF number.
So the greatest common factor 4734 and 4737 is 3.

Also check out the Least Common Multiple of 4734 and 4737

Properties of GCF 4734 and 4737

(i) The GCF of 4734 and 4737 is associative

GCF of 4734 and 4737 = GCF of 4737 and 4734

Related Greatest Common Factor of 4734

Related Greatest Common Factor of 4737

Frequently Asked Questions on GCF of 4734 and 4737

1. What is the GCF of 4734 and 4737?

Answer: GCF of 4734 and 4737 is 3.

2. 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.

3. What are the Factors of 4737?

Answer: Factors of 4737 are 1, 3, 1579, 4737. There are 4 integers that are factors of 4737. The greatest factor of 4737 is 4737.

4. How to Find the GCF of 4734 and 4737?

Answer:

Greatest Common Factor of 4734 and 4737 = 3

Step 1: Find the prime factorization of 4734

4734 = 2 x 3 x 3 x 263

Step 2: Find the prime factorization of 4737

4737 = 3 x 1579

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4734 and 4737 is 3