Greatest Common Factor of 4801 and 4804

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, 4804 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4801 and 4804 is 1.

GCF(4801,4804) = 1

GCF of 4801 and 4804

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

GCF of:
and

Greatest Common Factor of 4801 and 4804

GCF of 4801 and 4804 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 4804


2 4804
2 2402
1201 1201
1

Prime factors of 4804 are 2.Prime factorization of 4804 in exponential form is:

4804 = 22×12011

∴ So by taking common prime factors GCF of 4801 and 4804 is 1

Greatest Common Factor of 4801 and 4804 by matching factors method

Factors of 4801

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

1,4801

Factors of 4804

List of positive integer factors of 4804 that divides 4804 without a remainder.

1,2,4,1201,2402,4804

Greatest Common Factor

We found the factors and prime factorization of 4801 and 4804. The biggest common factor number is the GCF number.
So the greatest common factor 4801 and 4804 is 1.

Also check out the Least Common Multiple of 4801 and 4804

Properties of GCF 4801 and 4804

(i) The GCF of 4801 and 4804 is associative

GCF of 4801 and 4804 = GCF of 4804 and 4801

Frequently Asked Questions on GCF of 4801 and 4804

1. What is the GCF of 4801 and 4804?

Answer: GCF of 4801 and 4804 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 4804?

Answer: Factors of 4804 are 1, 2, 4, 1201, 2402, 4804. There are 6 integers that are factors of 4804. The greatest factor of 4804 is 4804.

4. How to Find the GCF of 4801 and 4804?

Answer:

Greatest Common Factor of 4801 and 4804 = 1

Step 1: Find the prime factorization of 4801

4801 = 4801

Step 2: Find the prime factorization of 4804

4804 = 2 x 2 x 1201

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 4804 is 1