Greatest Common Factor of 4839 and 4845

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 4839, 4845 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4839 and 4845 is 3.

GCF(4839,4845) = 3

GCF of 4839 and 4845

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

GCF of:
and

Greatest Common Factor of 4839 and 4845

GCF of 4839 and 4845 is 3

Prime Factorization of 4839


3 4839
1613 1613
1

Prime factors of 4839 are 3,1613. Prime factorization of 4839 in exponential form is:

4839 = 31×16131

Prime Factorization of 4845


3 4845
5 1615
17 323
19 19
1

Prime factors of 4845 are 3,5,17,19. Prime factorization of 4845 in exponential form is:

4845 = 31×51×171×191

∴ So by taking common prime factors GCF of 4839 and 4845 is 3

Greatest Common Factor of 4839 and 4845 by matching factors method

Factors of 4839

List of positive integer factors of 4839 that divides 4839 without a remainder.

1,3,1613,4839

Factors of 4845

List of positive integer factors of 4845 that divides 4845 without a remainder.

1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845

Greatest Common Factor

We found the factors and prime factorization of 4839 and 4845. The biggest common factor number is the GCF number.
So the greatest common factor 4839 and 4845 is 3.

Also check out the Least Common Multiple of 4839 and 4845

Properties of GCF 4839 and 4845

(i) The GCF of 4839 and 4845 is associative

GCF of 4839 and 4845 = GCF of 4845 and 4839

Related Greatest Common Factor of 4839

Related Greatest Common Factor of 4845

Frequently Asked Questions on GCF of 4839 and 4845

1. What is the GCF of 4839 and 4845?

Answer: GCF of 4839 and 4845 is 3.

2. What are the Factors of 4839?

Answer: Factors of 4839 are 1, 3, 1613, 4839. There are 4 integers that are factors of 4839. The greatest factor of 4839 is 4839.

3. What are the Factors of 4845?

Answer: Factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845. There are 16 integers that are factors of 4845. The greatest factor of 4845 is 4845.

4. How to Find the GCF of 4839 and 4845?

Answer:

Greatest Common Factor of 4839 and 4845 = 3

Step 1: Find the prime factorization of 4839

4839 = 3 x 1613

Step 2: Find the prime factorization of 4845

4845 = 3 x 5 x 17 x 19

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 4839 and 4845 is 3