Greatest Common Factor of 4870 and 4878

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, 4878 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4870 and 4878 is 2.

GCF(4870,4878) = 2

GCF of 4870 and 4878

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

GCF of:
and

Greatest Common Factor of 4870 and 4878

GCF of 4870 and 4878 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 4878


2 4878
3 2439
3 813
271 271
1

Prime factors of 4878 are 2,3,271. Prime factorization of 4878 in exponential form is:

4878 = 21×32×2711

∴ So by taking common prime factors GCF of 4870 and 4878 is 2

Greatest Common Factor of 4870 and 4878 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 4878

List of positive integer factors of 4878 that divides 4878 without a remainder.

1,2,3,6,9,18,271,542,813,1626,2439,4878

Greatest Common Factor

We found the factors and prime factorization of 4870 and 4878. The biggest common factor number is the GCF number.
So the greatest common factor 4870 and 4878 is 2.

Also check out the Least Common Multiple of 4870 and 4878

Properties of GCF 4870 and 4878

(i) The GCF of 4870 and 4878 is associative

GCF of 4870 and 4878 = GCF of 4878 and 4870

Related Greatest Common Factor of 4870

Related Greatest Common Factor of 4878

Frequently Asked Questions on GCF of 4870 and 4878

1. What is the GCF of 4870 and 4878?

Answer: GCF of 4870 and 4878 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 4878?

Answer: Factors of 4878 are 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878. There are 12 integers that are factors of 4878. The greatest factor of 4878 is 4878.

4. How to Find the GCF of 4870 and 4878?

Answer:

Greatest Common Factor of 4870 and 4878 = 2

Step 1: Find the prime factorization of 4870

4870 = 2 x 5 x 487

Step 2: Find the prime factorization of 4878

4878 = 2 x 3 x 3 x 271

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 4878 is 2