Greatest Common Factor of 4854 and 4860

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 4854, 4860 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4854 and 4860 is 6.

GCF(4854,4860) = 6

GCF of 4854 and 4860

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

GCF of:
and

Greatest Common Factor of 4854 and 4860

GCF of 4854 and 4860 is 6

Prime Factorization of 4854


2 4854
3 2427
809 809
1

Prime factors of 4854 are 2,3,809. Prime factorization of 4854 in exponential form is:

4854 = 21×31×8091

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

∴ So by taking common prime factors GCF of 4854 and 4860 is 6

Greatest Common Factor of 4854 and 4860 by matching factors method

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1,2,3,6,809,1618,2427,4854

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

Greatest Common Factor

We found the factors and prime factorization of 4854 and 4860. The biggest common factor number is the GCF number.
So the greatest common factor 4854 and 4860 is 6.

Also check out the Least Common Multiple of 4854 and 4860

Properties of GCF 4854 and 4860

(i) The GCF of 4854 and 4860 is associative

GCF of 4854 and 4860 = GCF of 4860 and 4854

Related Greatest Common Factor of 4854

Related Greatest Common Factor of 4860

Frequently Asked Questions on GCF of 4854 and 4860

1. What is the GCF of 4854 and 4860?

Answer: GCF of 4854 and 4860 is 6.

2. What are the Factors of 4854?

Answer: Factors of 4854 are 1, 2, 3, 6, 809, 1618, 2427, 4854. There are 8 integers that are factors of 4854. The greatest factor of 4854 is 4854.

3. 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.

4. How to Find the GCF of 4854 and 4860?

Answer:

Greatest Common Factor of 4854 and 4860 = 6

Step 1: Find the prime factorization of 4854

4854 = 2 x 3 x 809

Step 2: Find the prime factorization of 4860

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

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 4854 and 4860 is 6