Greatest Common Factor of 4806 and 4809

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 4806, 4809 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4806 and 4809 is 3.

GCF(4806,4809) = 3

GCF of 4806 and 4809

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

GCF of:
and

Greatest Common Factor of 4806 and 4809

GCF of 4806 and 4809 is 3

Prime Factorization of 4806


2 4806
3 2403
3 801
3 267
89 89
1

Prime factors of 4806 are 2,3,89. Prime factorization of 4806 in exponential form is:

4806 = 21×33×891

Prime Factorization of 4809


3 4809
7 1603
229 229
1

Prime factors of 4809 are 3,7,229. Prime factorization of 4809 in exponential form is:

4809 = 31×71×2291

∴ So by taking common prime factors GCF of 4806 and 4809 is 3

Greatest Common Factor of 4806 and 4809 by matching factors method

Factors of 4806

List of positive integer factors of 4806 that divides 4806 without a remainder.

1,2,3,6,9,18,27,54,89,178,267,534,801,1602,2403,4806

Factors of 4809

List of positive integer factors of 4809 that divides 4809 without a remainder.

1,3,7,21,229,687,1603,4809

Greatest Common Factor

We found the factors and prime factorization of 4806 and 4809. The biggest common factor number is the GCF number.
So the greatest common factor 4806 and 4809 is 3.

Also check out the Least Common Multiple of 4806 and 4809

Properties of GCF 4806 and 4809

(i) The GCF of 4806 and 4809 is associative

GCF of 4806 and 4809 = GCF of 4809 and 4806

Related Greatest Common Factor of 4806

Related Greatest Common Factor of 4809

Frequently Asked Questions on GCF of 4806 and 4809

1. What is the GCF of 4806 and 4809?

Answer: GCF of 4806 and 4809 is 3.

2. What are the Factors of 4806?

Answer: Factors of 4806 are 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403, 4806. There are 16 integers that are factors of 4806. The greatest factor of 4806 is 4806.

3. What are the Factors of 4809?

Answer: Factors of 4809 are 1, 3, 7, 21, 229, 687, 1603, 4809. There are 8 integers that are factors of 4809. The greatest factor of 4809 is 4809.

4. How to Find the GCF of 4806 and 4809?

Answer:

Greatest Common Factor of 4806 and 4809 = 3

Step 1: Find the prime factorization of 4806

4806 = 2 x 3 x 3 x 3 x 89

Step 2: Find the prime factorization of 4809

4809 = 3 x 7 x 229

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 4806 and 4809 is 3