Greatest Common Factor of 4870 and 4876

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, 4876 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4870 and 4876 is 2.

GCF(4870,4876) = 2

GCF of 4870 and 4876

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

GCF of:
and

Greatest Common Factor of 4870 and 4876

GCF of 4870 and 4876 is 2

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 4876


2 4876
2 2438
23 1219
53 53
1

Prime factors of 4876 are 2,23,53. Prime factorization of 4876 in exponential form is:

4876 = 22×231×531

∴ So by taking common prime factors GCF of 4870 and 4876 is 2

Greatest Common Factor of 4870 and 4876 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 4876

List of positive integer factors of 4876 that divides 4876 without a remainder.

1,2,4,23,46,53,92,106,212,1219,2438,4876

Greatest Common Factor

We found the factors and prime factorization of 4870 and 4876. The biggest common factor number is the GCF number.
So the greatest common factor 4870 and 4876 is 2.

Also check out the Least Common Multiple of 4870 and 4876

Properties of GCF 4870 and 4876

(i) The GCF of 4870 and 4876 is associative

GCF of 4870 and 4876 = GCF of 4876 and 4870

Related Greatest Common Factor of 4870

Related Greatest Common Factor of 4876

Frequently Asked Questions on GCF of 4870 and 4876

1. What is the GCF of 4870 and 4876?

Answer: GCF of 4870 and 4876 is 2.

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 4876?

Answer: Factors of 4876 are 1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876. There are 12 integers that are factors of 4876. The greatest factor of 4876 is 4876.

4. How to Find the GCF of 4870 and 4876?

Answer:

Greatest Common Factor of 4870 and 4876 = 2

Step 1: Find the prime factorization of 4870

4870 = 2 x 5 x 487

Step 2: Find the prime factorization of 4876

4876 = 2 x 2 x 23 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4870 and 4876 is 2