Greatest Common Factor of 4889 and 4891

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 4889, 4891 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4889 and 4891 is 1.

GCF(4889,4891) = 1

GCF of 4889 and 4891

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

GCF of:
and

Greatest Common Factor of 4889 and 4891

GCF of 4889 and 4891 is 1

Prime Factorization of 4889


4889 4889
1

Prime factors of 4889 are 4889. Prime factorization of 4889 in exponential form is:

4889 = 48891

Prime Factorization of 4891


67 4891
73 73
1

Prime factors of 4891 are 67.Prime factorization of 4891 in exponential form is:

4891 = 671×731

∴ So by taking common prime factors GCF of 4889 and 4891 is 1

Greatest Common Factor of 4889 and 4891 by matching factors method

Factors of 4889

List of positive integer factors of 4889 that divides 4889 without a remainder.

1,4889

Factors of 4891

List of positive integer factors of 4891 that divides 4891 without a remainder.

1,67,73,4891

Greatest Common Factor

We found the factors and prime factorization of 4889 and 4891. The biggest common factor number is the GCF number.
So the greatest common factor 4889 and 4891 is 1.

Also check out the Least Common Multiple of 4889 and 4891

Properties of GCF 4889 and 4891

(i) The GCF of 4889 and 4891 is associative

GCF of 4889 and 4891 = GCF of 4891 and 4889

Related Greatest Common Factor of 4889

Related Greatest Common Factor of 4891

Frequently Asked Questions on GCF of 4889 and 4891

1. What is the GCF of 4889 and 4891?

Answer: GCF of 4889 and 4891 is 1.

2. What are the Factors of 4889?

Answer: Factors of 4889 are 1, 4889. There are 2 integers that are factors of 4889. The greatest factor of 4889 is 4889.

3. What are the Factors of 4891?

Answer: Factors of 4891 are 1, 67, 73, 4891. There are 4 integers that are factors of 4891. The greatest factor of 4891 is 4891.

4. How to Find the GCF of 4889 and 4891?

Answer:

Greatest Common Factor of 4889 and 4891 = 1

Step 1: Find the prime factorization of 4889

4889 = 4889

Step 2: Find the prime factorization of 4891

4891 = 67 x 73

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 4889 and 4891 is 1