Greatest Common Factor of 4876 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 4876, 4884 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4876 and 4884 is 4.

GCF(4876,4884) = 4

GCF of 4876 and 4884

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

GCF of:
and

Greatest Common Factor of 4876 and 4884

GCF of 4876 and 4884 is 4

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

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 4876 and 4884 is 4

Greatest Common Factor of 4876 and 4884 by matching factors method

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

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 4876 and 4884. The biggest common factor number is the GCF number.
So the greatest common factor 4876 and 4884 is 4.

Also check out the Least Common Multiple of 4876 and 4884

Properties of GCF 4876 and 4884

(i) The GCF of 4876 and 4884 is associative

GCF of 4876 and 4884 = GCF of 4884 and 4876

Related Greatest Common Factor of 4876

Related Greatest Common Factor of 4884

Frequently Asked Questions on GCF of 4876 and 4884

1. What is the GCF of 4876 and 4884?

Answer: GCF of 4876 and 4884 is 4.

2. 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.

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 4876 and 4884?

Answer:

Greatest Common Factor of 4876 and 4884 = 4

Step 1: Find the prime factorization of 4876

4876 = 2 x 2 x 23 x 53

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 2 = 4

Step 4: Therefore, the greatest common factor of 4876 and 4884 is 4