Greatest Common Factor of 2889 and 2892

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 2889, 2892 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2889 and 2892 is 3.

GCF(2889,2892) = 3

GCF of 2889 and 2892

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

GCF of:
and

Greatest Common Factor of 2889 and 2892

GCF of 2889 and 2892 is 3

Prime Factorization of 2889


3 2889
3 963
3 321
107 107
1

Prime factors of 2889 are 3,107. Prime factorization of 2889 in exponential form is:

2889 = 33×1071

Prime Factorization of 2892


2 2892
2 1446
3 723
241 241
1

Prime factors of 2892 are 2,3,241. Prime factorization of 2892 in exponential form is:

2892 = 22×31×2411

∴ So by taking common prime factors GCF of 2889 and 2892 is 3

Greatest Common Factor of 2889 and 2892 by matching factors method

Factors of 2889

List of positive integer factors of 2889 that divides 2889 without a remainder.

1,3,9,27,107,321,963,2889

Factors of 2892

List of positive integer factors of 2892 that divides 2892 without a remainder.

1,2,3,4,6,12,241,482,723,964,1446,2892

Greatest Common Factor

We found the factors and prime factorization of 2889 and 2892. The biggest common factor number is the GCF number.
So the greatest common factor 2889 and 2892 is 3.

Also check out the Least Common Multiple of 2889 and 2892

Properties of GCF 2889 and 2892

(i) The GCF of 2889 and 2892 is associative

GCF of 2889 and 2892 = GCF of 2892 and 2889

Related Greatest Common Factor of 2889

Related Greatest Common Factor of 2892

Frequently Asked Questions on GCF of 2889 and 2892

1. What is the GCF of 2889 and 2892?

Answer: GCF of 2889 and 2892 is 3.

2. What are the Factors of 2889?

Answer: Factors of 2889 are 1, 3, 9, 27, 107, 321, 963, 2889. There are 8 integers that are factors of 2889. The greatest factor of 2889 is 2889.

3. What are the Factors of 2892?

Answer: Factors of 2892 are 1, 2, 3, 4, 6, 12, 241, 482, 723, 964, 1446, 2892. There are 12 integers that are factors of 2892. The greatest factor of 2892 is 2892.

4. How to Find the GCF of 2889 and 2892?

Answer:

Greatest Common Factor of 2889 and 2892 = 3

Step 1: Find the prime factorization of 2889

2889 = 3 x 3 x 3 x 107

Step 2: Find the prime factorization of 2892

2892 = 2 x 2 x 3 x 241

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 2889 and 2892 is 3