Greatest Common Factor of 4854 and 4857

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 4854, 4857 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4854 and 4857 is 3.

GCF(4854,4857) = 3

GCF of 4854 and 4857

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

GCF of:
and

Greatest Common Factor of 4854 and 4857

GCF of 4854 and 4857 is 3

Prime Factorization of 4854


2 4854
3 2427
809 809
1

Prime factors of 4854 are 2,3,809. Prime factorization of 4854 in exponential form is:

4854 = 21×31×8091

Prime Factorization of 4857


3 4857
1619 1619
1

Prime factors of 4857 are 3,1619. Prime factorization of 4857 in exponential form is:

4857 = 31×16191

∴ So by taking common prime factors GCF of 4854 and 4857 is 3

Greatest Common Factor of 4854 and 4857 by matching factors method

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1,2,3,6,809,1618,2427,4854

Factors of 4857

List of positive integer factors of 4857 that divides 4857 without a remainder.

1,3,1619,4857

Greatest Common Factor

We found the factors and prime factorization of 4854 and 4857. The biggest common factor number is the GCF number.
So the greatest common factor 4854 and 4857 is 3.

Also check out the Least Common Multiple of 4854 and 4857

Properties of GCF 4854 and 4857

(i) The GCF of 4854 and 4857 is associative

GCF of 4854 and 4857 = GCF of 4857 and 4854

Related Greatest Common Factor of 4854

Related Greatest Common Factor of 4857

Frequently Asked Questions on GCF of 4854 and 4857

1. What is the GCF of 4854 and 4857?

Answer: GCF of 4854 and 4857 is 3.

2. What are the Factors of 4854?

Answer: Factors of 4854 are 1, 2, 3, 6, 809, 1618, 2427, 4854. There are 8 integers that are factors of 4854. The greatest factor of 4854 is 4854.

3. What are the Factors of 4857?

Answer: Factors of 4857 are 1, 3, 1619, 4857. There are 4 integers that are factors of 4857. The greatest factor of 4857 is 4857.

4. How to Find the GCF of 4854 and 4857?

Answer:

Greatest Common Factor of 4854 and 4857 = 3

Step 1: Find the prime factorization of 4854

4854 = 2 x 3 x 809

Step 2: Find the prime factorization of 4857

4857 = 3 x 1619

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 4854 and 4857 is 3