Greatest Common Factor of 4866 and 4872

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 4866, 4872 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4866 and 4872 is 6.

GCF(4866,4872) = 6

GCF of 4866 and 4872

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

GCF of:
and

Greatest Common Factor of 4866 and 4872

GCF of 4866 and 4872 is 6

Prime Factorization of 4866


2 4866
3 2433
811 811
1

Prime factors of 4866 are 2,3,811. Prime factorization of 4866 in exponential form is:

4866 = 21×31×8111

Prime Factorization of 4872


2 4872
2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 4872 are 2,3,7,29. Prime factorization of 4872 in exponential form is:

4872 = 23×31×71×291

∴ So by taking common prime factors GCF of 4866 and 4872 is 6

Greatest Common Factor of 4866 and 4872 by matching factors method

Factors of 4866

List of positive integer factors of 4866 that divides 4866 without a remainder.

1,2,3,6,811,1622,2433,4866

Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872

Greatest Common Factor

We found the factors and prime factorization of 4866 and 4872. The biggest common factor number is the GCF number.
So the greatest common factor 4866 and 4872 is 6.

Also check out the Least Common Multiple of 4866 and 4872

Properties of GCF 4866 and 4872

(i) The GCF of 4866 and 4872 is associative

GCF of 4866 and 4872 = GCF of 4872 and 4866

Related Greatest Common Factor of 4866

Related Greatest Common Factor of 4872

Frequently Asked Questions on GCF of 4866 and 4872

1. What is the GCF of 4866 and 4872?

Answer: GCF of 4866 and 4872 is 6.

2. What are the Factors of 4866?

Answer: Factors of 4866 are 1, 2, 3, 6, 811, 1622, 2433, 4866. There are 8 integers that are factors of 4866. The greatest factor of 4866 is 4866.

3. What are the Factors of 4872?

Answer: Factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872. There are 32 integers that are factors of 4872. The greatest factor of 4872 is 4872.

4. How to Find the GCF of 4866 and 4872?

Answer:

Greatest Common Factor of 4866 and 4872 = 6

Step 1: Find the prime factorization of 4866

4866 = 2 x 3 x 811

Step 2: Find the prime factorization of 4872

4872 = 2 x 2 x 2 x 3 x 7 x 29

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 4866 and 4872 is 6