Greatest Common Factor of 2889 and 2891

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, 2891 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2889 and 2891 is 1.

GCF(2889,2891) = 1

GCF of 2889 and 2891

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

GCF of:
and

Greatest Common Factor of 2889 and 2891

GCF of 2889 and 2891 is 1

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 2891


7 2891
7 413
59 59
1

Prime factors of 2891 are 7,59. Prime factorization of 2891 in exponential form is:

2891 = 72×591

∴ So by taking common prime factors GCF of 2889 and 2891 is 1

Greatest Common Factor of 2889 and 2891 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 2891

List of positive integer factors of 2891 that divides 2891 without a remainder.

1,7,49,59,413,2891

Greatest Common Factor

We found the factors and prime factorization of 2889 and 2891. The biggest common factor number is the GCF number.
So the greatest common factor 2889 and 2891 is 1.

Also check out the Least Common Multiple of 2889 and 2891

Properties of GCF 2889 and 2891

(i) The GCF of 2889 and 2891 is associative

GCF of 2889 and 2891 = GCF of 2891 and 2889

Related Greatest Common Factor of 2889

Related Greatest Common Factor of 2891

Frequently Asked Questions on GCF of 2889 and 2891

1. What is the GCF of 2889 and 2891?

Answer: GCF of 2889 and 2891 is 1.

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 2891?

Answer: Factors of 2891 are 1, 7, 49, 59, 413, 2891. There are 6 integers that are factors of 2891. The greatest factor of 2891 is 2891.

4. How to Find the GCF of 2889 and 2891?

Answer:

Greatest Common Factor of 2889 and 2891 = 1

Step 1: Find the prime factorization of 2889

2889 = 3 x 3 x 3 x 107

Step 2: Find the prime factorization of 2891

2891 = 7 x 7 x 59

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2889 and 2891 is 1