Greatest Common Factor of 4893 and 4899

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 4893, 4899 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4893 and 4899 is 3.

GCF(4893,4899) = 3

GCF of 4893 and 4899

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

GCF of:
and

Greatest Common Factor of 4893 and 4899

GCF of 4893 and 4899 is 3

Prime Factorization of 4893


3 4893
7 1631
233 233
1

Prime factors of 4893 are 3,7,233. Prime factorization of 4893 in exponential form is:

4893 = 31×71×2331

Prime Factorization of 4899


3 4899
23 1633
71 71
1

Prime factors of 4899 are 3,23,71. Prime factorization of 4899 in exponential form is:

4899 = 31×231×711

∴ So by taking common prime factors GCF of 4893 and 4899 is 3

Greatest Common Factor of 4893 and 4899 by matching factors method

Factors of 4893

List of positive integer factors of 4893 that divides 4893 without a remainder.

1,3,7,21,233,699,1631,4893

Factors of 4899

List of positive integer factors of 4899 that divides 4899 without a remainder.

1,3,23,69,71,213,1633,4899

Greatest Common Factor

We found the factors and prime factorization of 4893 and 4899. The biggest common factor number is the GCF number.
So the greatest common factor 4893 and 4899 is 3.

Also check out the Least Common Multiple of 4893 and 4899

Properties of GCF 4893 and 4899

(i) The GCF of 4893 and 4899 is associative

GCF of 4893 and 4899 = GCF of 4899 and 4893

Related Greatest Common Factor of 4893

Related Greatest Common Factor of 4899

Frequently Asked Questions on GCF of 4893 and 4899

1. What is the GCF of 4893 and 4899?

Answer: GCF of 4893 and 4899 is 3.

2. What are the Factors of 4893?

Answer: Factors of 4893 are 1, 3, 7, 21, 233, 699, 1631, 4893. There are 8 integers that are factors of 4893. The greatest factor of 4893 is 4893.

3. What are the Factors of 4899?

Answer: Factors of 4899 are 1, 3, 23, 69, 71, 213, 1633, 4899. There are 8 integers that are factors of 4899. The greatest factor of 4899 is 4899.

4. How to Find the GCF of 4893 and 4899?

Answer:

Greatest Common Factor of 4893 and 4899 = 3

Step 1: Find the prime factorization of 4893

4893 = 3 x 7 x 233

Step 2: Find the prime factorization of 4899

4899 = 3 x 23 x 71

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 4893 and 4899 is 3