Greatest Common Factor of 4827 and 4830

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 4827, 4830 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4827 and 4830 is 3.

GCF(4827,4830) = 3

GCF of 4827 and 4830

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

GCF of:
and

Greatest Common Factor of 4827 and 4830

GCF of 4827 and 4830 is 3

Prime Factorization of 4827


3 4827
1609 1609
1

Prime factors of 4827 are 3,1609. Prime factorization of 4827 in exponential form is:

4827 = 31×16091

Prime Factorization of 4830


2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 4830 are 2,3,5,7,23. Prime factorization of 4830 in exponential form is:

4830 = 21×31×51×71×231

∴ So by taking common prime factors GCF of 4827 and 4830 is 3

Greatest Common Factor of 4827 and 4830 by matching factors method

Factors of 4827

List of positive integer factors of 4827 that divides 4827 without a remainder.

1,3,1609,4827

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830

Greatest Common Factor

We found the factors and prime factorization of 4827 and 4830. The biggest common factor number is the GCF number.
So the greatest common factor 4827 and 4830 is 3.

Also check out the Least Common Multiple of 4827 and 4830

Properties of GCF 4827 and 4830

(i) The GCF of 4827 and 4830 is associative

GCF of 4827 and 4830 = GCF of 4830 and 4827

Related Greatest Common Factor of 4827

Related Greatest Common Factor of 4830

Frequently Asked Questions on GCF of 4827 and 4830

1. What is the GCF of 4827 and 4830?

Answer: GCF of 4827 and 4830 is 3.

2. What are the Factors of 4827?

Answer: Factors of 4827 are 1, 3, 1609, 4827. There are 4 integers that are factors of 4827. The greatest factor of 4827 is 4827.

3. What are the Factors of 4830?

Answer: Factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830. There are 32 integers that are factors of 4830. The greatest factor of 4830 is 4830.

4. How to Find the GCF of 4827 and 4830?

Answer:

Greatest Common Factor of 4827 and 4830 = 3

Step 1: Find the prime factorization of 4827

4827 = 3 x 1609

Step 2: Find the prime factorization of 4830

4830 = 2 x 3 x 5 x 7 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 4827 and 4830 is 3