Greatest Common Factor of 4737 and 4743

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 4737, 4743 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4737 and 4743 is 3.

GCF(4737,4743) = 3

GCF of 4737 and 4743

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

GCF of:
and

Greatest Common Factor of 4737 and 4743

GCF of 4737 and 4743 is 3

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

Prime Factorization of 4743


3 4743
3 1581
17 527
31 31
1

Prime factors of 4743 are 3,17,31. Prime factorization of 4743 in exponential form is:

4743 = 32×171×311

∴ So by taking common prime factors GCF of 4737 and 4743 is 3

Greatest Common Factor of 4737 and 4743 by matching factors method

Factors of 4737

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

1,3,1579,4737

Factors of 4743

List of positive integer factors of 4743 that divides 4743 without a remainder.

1,3,9,17,31,51,93,153,279,527,1581,4743

Greatest Common Factor

We found the factors and prime factorization of 4737 and 4743. The biggest common factor number is the GCF number.
So the greatest common factor 4737 and 4743 is 3.

Also check out the Least Common Multiple of 4737 and 4743

Properties of GCF 4737 and 4743

(i) The GCF of 4737 and 4743 is associative

GCF of 4737 and 4743 = GCF of 4743 and 4737

Related Greatest Common Factor of 4737

Related Greatest Common Factor of 4743

Frequently Asked Questions on GCF of 4737 and 4743

1. What is the GCF of 4737 and 4743?

Answer: GCF of 4737 and 4743 is 3.

2. 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.

3. What are the Factors of 4743?

Answer: Factors of 4743 are 1, 3, 9, 17, 31, 51, 93, 153, 279, 527, 1581, 4743. There are 12 integers that are factors of 4743. The greatest factor of 4743 is 4743.

4. How to Find the GCF of 4737 and 4743?

Answer:

Greatest Common Factor of 4737 and 4743 = 3

Step 1: Find the prime factorization of 4737

4737 = 3 x 1579

Step 2: Find the prime factorization of 4743

4743 = 3 x 3 x 17 x 31

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 4737 and 4743 is 3