Greatest Common Factor of 4797 and 4803

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 4797, 4803 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4797 and 4803 is 3.

GCF(4797,4803) = 3

GCF of 4797 and 4803

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

GCF of:
and

Greatest Common Factor of 4797 and 4803

GCF of 4797 and 4803 is 3

Prime Factorization of 4797


3 4797
3 1599
13 533
41 41
1

Prime factors of 4797 are 3,13,41. Prime factorization of 4797 in exponential form is:

4797 = 32×131×411

Prime Factorization of 4803


3 4803
1601 1601
1

Prime factors of 4803 are 3,1601. Prime factorization of 4803 in exponential form is:

4803 = 31×16011

∴ So by taking common prime factors GCF of 4797 and 4803 is 3

Greatest Common Factor of 4797 and 4803 by matching factors method

Factors of 4797

List of positive integer factors of 4797 that divides 4797 without a remainder.

1,3,9,13,39,41,117,123,369,533,1599,4797

Factors of 4803

List of positive integer factors of 4803 that divides 4803 without a remainder.

1,3,1601,4803

Greatest Common Factor

We found the factors and prime factorization of 4797 and 4803. The biggest common factor number is the GCF number.
So the greatest common factor 4797 and 4803 is 3.

Also check out the Least Common Multiple of 4797 and 4803

Properties of GCF 4797 and 4803

(i) The GCF of 4797 and 4803 is associative

GCF of 4797 and 4803 = GCF of 4803 and 4797

Related Greatest Common Factor of 4797

Related Greatest Common Factor of 4803

Frequently Asked Questions on GCF of 4797 and 4803

1. What is the GCF of 4797 and 4803?

Answer: GCF of 4797 and 4803 is 3.

2. What are the Factors of 4797?

Answer: Factors of 4797 are 1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797. There are 12 integers that are factors of 4797. The greatest factor of 4797 is 4797.

3. What are the Factors of 4803?

Answer: Factors of 4803 are 1, 3, 1601, 4803. There are 4 integers that are factors of 4803. The greatest factor of 4803 is 4803.

4. How to Find the GCF of 4797 and 4803?

Answer:

Greatest Common Factor of 4797 and 4803 = 3

Step 1: Find the prime factorization of 4797

4797 = 3 x 3 x 13 x 41

Step 2: Find the prime factorization of 4803

4803 = 3 x 1601

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 4797 and 4803 is 3