Greatest Common Factor of 4873 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 4873, 4875 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4873 and 4875 is 1.

GCF(4873,4875) = 1

GCF of 4873 and 4875

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

GCF of:
and

Greatest Common Factor of 4873 and 4875

GCF of 4873 and 4875 is 1

Prime Factorization of 4873


11 4873
443 443
1

Prime factors of 4873 are 11,443. Prime factorization of 4873 in exponential form is:

4873 = 111×4431

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 4873 and 4875 is 1

Greatest Common Factor of 4873 and 4875 by matching factors method

Factors of 4873

List of positive integer factors of 4873 that divides 4873 without a remainder.

1,11,443,4873

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 4873 and 4875. The biggest common factor number is the GCF number.
So the greatest common factor 4873 and 4875 is 1.

Also check out the Least Common Multiple of 4873 and 4875

Properties of GCF 4873 and 4875

(i) The GCF of 4873 and 4875 is associative

GCF of 4873 and 4875 = GCF of 4875 and 4873

Frequently Asked Questions on GCF of 4873 and 4875

1. What is the GCF of 4873 and 4875?

Answer: GCF of 4873 and 4875 is 1.

2. What are the Factors of 4873?

Answer: Factors of 4873 are 1, 11, 443, 4873. There are 4 integers that are factors of 4873. The greatest factor of 4873 is 4873.

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 4873 and 4875?

Answer:

Greatest Common Factor of 4873 and 4875 = 1

Step 1: Find the prime factorization of 4873

4873 = 11 x 443

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 = = 1

Step 4: Therefore, the greatest common factor of 4873 and 4875 is 1