Greatest Common Factor of 4869 and 4875

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 4869, 4875 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4869 and 4875 is 3.

GCF(4869,4875) = 3

GCF of 4869 and 4875

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

GCF of:
and

Greatest Common Factor of 4869 and 4875

GCF of 4869 and 4875 is 3

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

Prime Factorization of 4875


3 4875
5 1625
5 325
5 65
13 13
1

Prime factors of 4875 are 3,5,13. Prime factorization of 4875 in exponential form is:

4875 = 31×53×131

∴ So by taking common prime factors GCF of 4869 and 4875 is 3

Greatest Common Factor of 4869 and 4875 by matching factors method

Factors of 4869

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

1,3,9,541,1623,4869

Factors of 4875

List of positive integer factors of 4875 that divides 4875 without a remainder.

1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875

Greatest Common Factor

We found the factors and prime factorization of 4869 and 4875. The biggest common factor number is the GCF number.
So the greatest common factor 4869 and 4875 is 3.

Also check out the Least Common Multiple of 4869 and 4875

Properties of GCF 4869 and 4875

(i) The GCF of 4869 and 4875 is associative

GCF of 4869 and 4875 = GCF of 4875 and 4869

Related Greatest Common Factor of 4869

Related Greatest Common Factor of 4875

Frequently Asked Questions on GCF of 4869 and 4875

1. What is the GCF of 4869 and 4875?

Answer: GCF of 4869 and 4875 is 3.

2. 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.

3. What are the Factors of 4875?

Answer: Factors of 4875 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875. There are 16 integers that are factors of 4875. The greatest factor of 4875 is 4875.

4. How to Find the GCF of 4869 and 4875?

Answer:

Greatest Common Factor of 4869 and 4875 = 3

Step 1: Find the prime factorization of 4869

4869 = 3 x 3 x 541

Step 2: Find the prime factorization of 4875

4875 = 3 x 5 x 5 x 5 x 13

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 4869 and 4875 is 3