Greatest Common Factor of 4827 and 4833

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, 4833 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4827 and 4833 is 3.

GCF(4827,4833) = 3

GCF of 4827 and 4833

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

GCF of:
and

Greatest Common Factor of 4827 and 4833

GCF of 4827 and 4833 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 4833


3 4833
3 1611
3 537
179 179
1

Prime factors of 4833 are 3,179. Prime factorization of 4833 in exponential form is:

4833 = 33×1791

∴ So by taking common prime factors GCF of 4827 and 4833 is 3

Greatest Common Factor of 4827 and 4833 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 4833

List of positive integer factors of 4833 that divides 4833 without a remainder.

1,3,9,27,179,537,1611,4833

Greatest Common Factor

We found the factors and prime factorization of 4827 and 4833. The biggest common factor number is the GCF number.
So the greatest common factor 4827 and 4833 is 3.

Also check out the Least Common Multiple of 4827 and 4833

Properties of GCF 4827 and 4833

(i) The GCF of 4827 and 4833 is associative

GCF of 4827 and 4833 = GCF of 4833 and 4827

Related Greatest Common Factor of 4827

Related Greatest Common Factor of 4833

Frequently Asked Questions on GCF of 4827 and 4833

1. What is the GCF of 4827 and 4833?

Answer: GCF of 4827 and 4833 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 4833?

Answer: Factors of 4833 are 1, 3, 9, 27, 179, 537, 1611, 4833. There are 8 integers that are factors of 4833. The greatest factor of 4833 is 4833.

4. How to Find the GCF of 4827 and 4833?

Answer:

Greatest Common Factor of 4827 and 4833 = 3

Step 1: Find the prime factorization of 4827

4827 = 3 x 1609

Step 2: Find the prime factorization of 4833

4833 = 3 x 3 x 3 x 179

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 4833 is 3