Greatest Common Factor of 4860 and 4866

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 4860, 4866 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4860 and 4866 is 6.

GCF(4860,4866) = 6

GCF of 4860 and 4866

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

GCF of:
and

Greatest Common Factor of 4860 and 4866

GCF of 4860 and 4866 is 6

Prime Factorization of 4860


2 4860
2 2430
3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 4860 are 2,3,5. Prime factorization of 4860 in exponential form is:

4860 = 22×35×51

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

∴ So by taking common prime factors GCF of 4860 and 4866 is 6

Greatest Common Factor of 4860 and 4866 by matching factors method

Factors of 4860

List of positive integer factors of 4860 that divides 4860 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,243,270,324,405,486,540,810,972,1215,1620,2430,4860

Factors of 4866

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

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

Greatest Common Factor

We found the factors and prime factorization of 4860 and 4866. The biggest common factor number is the GCF number.
So the greatest common factor 4860 and 4866 is 6.

Also check out the Least Common Multiple of 4860 and 4866

Properties of GCF 4860 and 4866

(i) The GCF of 4860 and 4866 is associative

GCF of 4860 and 4866 = GCF of 4866 and 4860

Frequently Asked Questions on GCF of 4860 and 4866

1. What is the GCF of 4860 and 4866?

Answer: GCF of 4860 and 4866 is 6.

2. What are the Factors of 4860?

Answer: Factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860. There are 36 integers that are factors of 4860. The greatest factor of 4860 is 4860.

3. 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.

4. How to Find the GCF of 4860 and 4866?

Answer:

Greatest Common Factor of 4860 and 4866 = 6

Step 1: Find the prime factorization of 4860

4860 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 4866

4866 = 2 x 3 x 811

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 4860 and 4866 is 6