Greatest Common Factor of 4801 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 4801, 4809 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4801 and 4809 is 1.

GCF(4801,4809) = 1

GCF of 4801 and 4809

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

GCF of:
and

Greatest Common Factor of 4801 and 4809

GCF of 4801 and 4809 is 1

Prime Factorization of 4801


4801 4801
1

Prime factors of 4801 are 4801. Prime factorization of 4801 in exponential form is:

4801 = 48011

Prime Factorization of 4809


3 4809
7 1603
229 229
1

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

4809 = 31×71×2291

∴ So by taking common prime factors GCF of 4801 and 4809 is 1

Greatest Common Factor of 4801 and 4809 by matching factors method

Factors of 4801

List of positive integer factors of 4801 that divides 4801 without a remainder.

1,4801

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 4801 and 4809. The biggest common factor number is the GCF number.
So the greatest common factor 4801 and 4809 is 1.

Also check out the Least Common Multiple of 4801 and 4809

Properties of GCF 4801 and 4809

(i) The GCF of 4801 and 4809 is associative

GCF of 4801 and 4809 = GCF of 4809 and 4801

Related Greatest Common Factor of 4801

Related Greatest Common Factor of 4809

Frequently Asked Questions on GCF of 4801 and 4809

1. What is the GCF of 4801 and 4809?

Answer: GCF of 4801 and 4809 is 1.

2. What are the Factors of 4801?

Answer: Factors of 4801 are 1, 4801. There are 2 integers that are factors of 4801. The greatest factor of 4801 is 4801.

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 4801 and 4809?

Answer:

Greatest Common Factor of 4801 and 4809 = 1

Step 1: Find the prime factorization of 4801

4801 = 4801

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 = = 1

Step 4: Therefore, the greatest common factor of 4801 and 4809 is 1