Greatest Common Factor of 4884 and 4888

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 4884, 4888 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4884 and 4888 is 4.

GCF(4884,4888) = 4

GCF of 4884 and 4888

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

GCF of:
and

Greatest Common Factor of 4884 and 4888

GCF of 4884 and 4888 is 4

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

Prime Factorization of 4888


2 4888
2 2444
2 1222
13 611
47 47
1

Prime factors of 4888 are 2,13,47. Prime factorization of 4888 in exponential form is:

4888 = 23×131×471

∴ So by taking common prime factors GCF of 4884 and 4888 is 4

Greatest Common Factor of 4884 and 4888 by matching factors method

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

Factors of 4888

List of positive integer factors of 4888 that divides 4888 without a remainder.

1,2,4,8,13,26,47,52,94,104,188,376,611,1222,2444,4888

Greatest Common Factor

We found the factors and prime factorization of 4884 and 4888. The biggest common factor number is the GCF number.
So the greatest common factor 4884 and 4888 is 4.

Also check out the Least Common Multiple of 4884 and 4888

Properties of GCF 4884 and 4888

(i) The GCF of 4884 and 4888 is associative

GCF of 4884 and 4888 = GCF of 4888 and 4884

Related Greatest Common Factor of 4884

Related Greatest Common Factor of 4888

Frequently Asked Questions on GCF of 4884 and 4888

1. What is the GCF of 4884 and 4888?

Answer: GCF of 4884 and 4888 is 4.

2. 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.

3. What are the Factors of 4888?

Answer: Factors of 4888 are 1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888. There are 16 integers that are factors of 4888. The greatest factor of 4888 is 4888.

4. How to Find the GCF of 4884 and 4888?

Answer:

Greatest Common Factor of 4884 and 4888 = 4

Step 1: Find the prime factorization of 4884

4884 = 2 x 2 x 3 x 11 x 37

Step 2: Find the prime factorization of 4888

4888 = 2 x 2 x 2 x 13 x 47

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 4884 and 4888 is 4