Greatest Common Factor of 4870 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 4870, 4875 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4870 and 4875 is 5.

GCF(4870,4875) = 5

GCF of 4870 and 4875

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

GCF of:
and

Greatest Common Factor of 4870 and 4875

GCF of 4870 and 4875 is 5

Prime Factorization of 4870


2 4870
5 2435
487 487
1

Prime factors of 4870 are 2,5,487. Prime factorization of 4870 in exponential form is:

4870 = 21×51×4871

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 4870 and 4875 is 5

Greatest Common Factor of 4870 and 4875 by matching factors method

Factors of 4870

List of positive integer factors of 4870 that divides 4870 without a remainder.

1,2,5,10,487,974,2435,4870

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 4870 and 4875. The biggest common factor number is the GCF number.
So the greatest common factor 4870 and 4875 is 5.

Also check out the Least Common Multiple of 4870 and 4875

Properties of GCF 4870 and 4875

(i) The GCF of 4870 and 4875 is associative

GCF of 4870 and 4875 = GCF of 4875 and 4870

Related Greatest Common Factor of 4870

Related Greatest Common Factor of 4875

Frequently Asked Questions on GCF of 4870 and 4875

1. What is the GCF of 4870 and 4875?

Answer: GCF of 4870 and 4875 is 5.

2. What are the Factors of 4870?

Answer: Factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870. There are 8 integers that are factors of 4870. The greatest factor of 4870 is 4870.

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 4870 and 4875?

Answer:

Greatest Common Factor of 4870 and 4875 = 5

Step 1: Find the prime factorization of 4870

4870 = 2 x 5 x 487

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 = 5

Step 4: Therefore, the greatest common factor of 4870 and 4875 is 5