Greatest Common Factor of 4875 and 4881

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 4875, 4881 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4875 and 4881 is 3.

GCF(4875,4881) = 3

GCF of 4875 and 4881

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

GCF of:
and

Greatest Common Factor of 4875 and 4881

GCF of 4875 and 4881 is 3

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

Prime Factorization of 4881


3 4881
1627 1627
1

Prime factors of 4881 are 3,1627. Prime factorization of 4881 in exponential form is:

4881 = 31×16271

∴ So by taking common prime factors GCF of 4875 and 4881 is 3

Greatest Common Factor of 4875 and 4881 by matching factors method

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

Factors of 4881

List of positive integer factors of 4881 that divides 4881 without a remainder.

1,3,1627,4881

Greatest Common Factor

We found the factors and prime factorization of 4875 and 4881. The biggest common factor number is the GCF number.
So the greatest common factor 4875 and 4881 is 3.

Also check out the Least Common Multiple of 4875 and 4881

Properties of GCF 4875 and 4881

(i) The GCF of 4875 and 4881 is associative

GCF of 4875 and 4881 = GCF of 4881 and 4875

Related Greatest Common Factor of 4875

Related Greatest Common Factor of 4881

Frequently Asked Questions on GCF of 4875 and 4881

1. What is the GCF of 4875 and 4881?

Answer: GCF of 4875 and 4881 is 3.

2. 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.

3. What are the Factors of 4881?

Answer: Factors of 4881 are 1, 3, 1627, 4881. There are 4 integers that are factors of 4881. The greatest factor of 4881 is 4881.

4. How to Find the GCF of 4875 and 4881?

Answer:

Greatest Common Factor of 4875 and 4881 = 3

Step 1: Find the prime factorization of 4875

4875 = 3 x 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 4881

4881 = 3 x 1627

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 4875 and 4881 is 3