Greatest Common Factor of 4852 and 4854

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 4852, 4854 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4852 and 4854 is 2.

GCF(4852,4854) = 2

GCF of 4852 and 4854

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

GCF of:
and

Greatest Common Factor of 4852 and 4854

GCF of 4852 and 4854 is 2

Prime Factorization of 4852


2 4852
2 2426
1213 1213
1

Prime factors of 4852 are 2,1213. Prime factorization of 4852 in exponential form is:

4852 = 22×12131

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

∴ So by taking common prime factors GCF of 4852 and 4854 is 2

Greatest Common Factor of 4852 and 4854 by matching factors method

Factors of 4852

List of positive integer factors of 4852 that divides 4852 without a remainder.

1,2,4,1213,2426,4852

Factors of 4854

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

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

Greatest Common Factor

We found the factors and prime factorization of 4852 and 4854. The biggest common factor number is the GCF number.
So the greatest common factor 4852 and 4854 is 2.

Also check out the Least Common Multiple of 4852 and 4854

Properties of GCF 4852 and 4854

(i) The GCF of 4852 and 4854 is associative

GCF of 4852 and 4854 = GCF of 4854 and 4852

Related Greatest Common Factor of 4852

Related Greatest Common Factor of 4854

Frequently Asked Questions on GCF of 4852 and 4854

1. What is the GCF of 4852 and 4854?

Answer: GCF of 4852 and 4854 is 2.

2. What are the Factors of 4852?

Answer: Factors of 4852 are 1, 2, 4, 1213, 2426, 4852. There are 6 integers that are factors of 4852. The greatest factor of 4852 is 4852.

3. 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.

4. How to Find the GCF of 4852 and 4854?

Answer:

Greatest Common Factor of 4852 and 4854 = 2

Step 1: Find the prime factorization of 4852

4852 = 2 x 2 x 1213

Step 2: Find the prime factorization of 4854

4854 = 2 x 3 x 809

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4852 and 4854 is 2