Greatest Common Factor of 7889 and 7893

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 7889, 7893 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7889 and 7893 is 1.

GCF(7889,7893) = 1

GCF of 7889 and 7893

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

GCF of:
and

Greatest Common Factor of 7889 and 7893

GCF of 7889 and 7893 is 1

Prime Factorization of 7889


7 7889
7 1127
7 161
23 23
1

Prime factors of 7889 are 7,23. Prime factorization of 7889 in exponential form is:

7889 = 73×231

Prime Factorization of 7893


3 7893
3 2631
877 877
1

Prime factors of 7893 are 3,877. Prime factorization of 7893 in exponential form is:

7893 = 32×8771

∴ So by taking common prime factors GCF of 7889 and 7893 is 1

Greatest Common Factor of 7889 and 7893 by matching factors method

Factors of 7889

List of positive integer factors of 7889 that divides 7889 without a remainder.

1,7,23,49,161,343,1127,7889

Factors of 7893

List of positive integer factors of 7893 that divides 7893 without a remainder.

1,3,9,877,2631,7893

Greatest Common Factor

We found the factors and prime factorization of 7889 and 7893. The biggest common factor number is the GCF number.
So the greatest common factor 7889 and 7893 is 1.

Also check out the Least Common Multiple of 7889 and 7893

Properties of GCF 7889 and 7893

(i) The GCF of 7889 and 7893 is associative

GCF of 7889 and 7893 = GCF of 7893 and 7889

Related Greatest Common Factor of 7889

Related Greatest Common Factor of 7893

Frequently Asked Questions on GCF of 7889 and 7893

1. What is the GCF of 7889 and 7893?

Answer: GCF of 7889 and 7893 is 1.

2. What are the Factors of 7889?

Answer: Factors of 7889 are 1, 7, 23, 49, 161, 343, 1127, 7889. There are 8 integers that are factors of 7889. The greatest factor of 7889 is 7889.

3. What are the Factors of 7893?

Answer: Factors of 7893 are 1, 3, 9, 877, 2631, 7893. There are 6 integers that are factors of 7893. The greatest factor of 7893 is 7893.

4. How to Find the GCF of 7889 and 7893?

Answer:

Greatest Common Factor of 7889 and 7893 = 1

Step 1: Find the prime factorization of 7889

7889 = 7 x 7 x 7 x 23

Step 2: Find the prime factorization of 7893

7893 = 3 x 3 x 877

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 7889 and 7893 is 1