Greatest Common Factor of 4878 and 4884

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 4878, 4884 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4878 and 4884 is 6.

GCF(4878,4884) = 6

GCF of 4878 and 4884

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

GCF of:
and

Greatest Common Factor of 4878 and 4884

GCF of 4878 and 4884 is 6

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

Prime Factorization of 4884


2 4884
2 2442
3 1221
11 407
37 37
1

Prime factors of 4884 are 2,3,11,37. Prime factorization of 4884 in exponential form is:

4884 = 22×31×111×371

∴ So by taking common prime factors GCF of 4878 and 4884 is 6

Greatest Common Factor of 4878 and 4884 by matching factors method

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

Factors of 4884

List of positive integer factors of 4884 that divides 4884 without a remainder.

1,2,3,4,6,11,12,22,33,37,44,66,74,111,132,148,222,407,444,814,1221,1628,2442,4884

Greatest Common Factor

We found the factors and prime factorization of 4878 and 4884. The biggest common factor number is the GCF number.
So the greatest common factor 4878 and 4884 is 6.

Also check out the Least Common Multiple of 4878 and 4884

Properties of GCF 4878 and 4884

(i) The GCF of 4878 and 4884 is associative

GCF of 4878 and 4884 = GCF of 4884 and 4878

Related Greatest Common Factor of 4878

Related Greatest Common Factor of 4884

Frequently Asked Questions on GCF of 4878 and 4884

1. What is the GCF of 4878 and 4884?

Answer: GCF of 4878 and 4884 is 6.

2. 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.

3. What are the Factors of 4884?

Answer: Factors of 4884 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884. There are 24 integers that are factors of 4884. The greatest factor of 4884 is 4884.

4. How to Find the GCF of 4878 and 4884?

Answer:

Greatest Common Factor of 4878 and 4884 = 6

Step 1: Find the prime factorization of 4878

4878 = 2 x 3 x 3 x 271

Step 2: Find the prime factorization of 4884

4884 = 2 x 2 x 3 x 11 x 37

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4878 and 4884 is 6