Greatest Common Factor of 4863 and 4869

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 4863, 4869 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4863 and 4869 is 3.

GCF(4863,4869) = 3

GCF of 4863 and 4869

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

GCF of:
and

Greatest Common Factor of 4863 and 4869

GCF of 4863 and 4869 is 3

Prime Factorization of 4863


3 4863
1621 1621
1

Prime factors of 4863 are 3,1621. Prime factorization of 4863 in exponential form is:

4863 = 31×16211

Prime Factorization of 4869


3 4869
3 1623
541 541
1

Prime factors of 4869 are 3,541. Prime factorization of 4869 in exponential form is:

4869 = 32×5411

∴ So by taking common prime factors GCF of 4863 and 4869 is 3

Greatest Common Factor of 4863 and 4869 by matching factors method

Factors of 4863

List of positive integer factors of 4863 that divides 4863 without a remainder.

1,3,1621,4863

Factors of 4869

List of positive integer factors of 4869 that divides 4869 without a remainder.

1,3,9,541,1623,4869

Greatest Common Factor

We found the factors and prime factorization of 4863 and 4869. The biggest common factor number is the GCF number.
So the greatest common factor 4863 and 4869 is 3.

Also check out the Least Common Multiple of 4863 and 4869

Properties of GCF 4863 and 4869

(i) The GCF of 4863 and 4869 is associative

GCF of 4863 and 4869 = GCF of 4869 and 4863

Frequently Asked Questions on GCF of 4863 and 4869

1. What is the GCF of 4863 and 4869?

Answer: GCF of 4863 and 4869 is 3.

2. What are the Factors of 4863?

Answer: Factors of 4863 are 1, 3, 1621, 4863. There are 4 integers that are factors of 4863. The greatest factor of 4863 is 4863.

3. What are the Factors of 4869?

Answer: Factors of 4869 are 1, 3, 9, 541, 1623, 4869. There are 6 integers that are factors of 4869. The greatest factor of 4869 is 4869.

4. How to Find the GCF of 4863 and 4869?

Answer:

Greatest Common Factor of 4863 and 4869 = 3

Step 1: Find the prime factorization of 4863

4863 = 3 x 1621

Step 2: Find the prime factorization of 4869

4869 = 3 x 3 x 541

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 4863 and 4869 is 3