Greatest Common Factor of 7882 and 7889

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 7882, 7889 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7882 and 7889 is 7.

GCF(7882,7889) = 7

GCF of 7882 and 7889

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

GCF of:
and

Greatest Common Factor of 7882 and 7889

GCF of 7882 and 7889 is 7

Prime Factorization of 7882


2 7882
7 3941
563 563
1

Prime factors of 7882 are 2,7,563. Prime factorization of 7882 in exponential form is:

7882 = 21×71×5631

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

∴ So by taking common prime factors GCF of 7882 and 7889 is 7

Greatest Common Factor of 7882 and 7889 by matching factors method

Factors of 7882

List of positive integer factors of 7882 that divides 7882 without a remainder.

1,2,7,14,563,1126,3941,7882

Factors of 7889

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

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

Greatest Common Factor

We found the factors and prime factorization of 7882 and 7889. The biggest common factor number is the GCF number.
So the greatest common factor 7882 and 7889 is 7.

Also check out the Least Common Multiple of 7882 and 7889

Properties of GCF 7882 and 7889

(i) The GCF of 7882 and 7889 is associative

GCF of 7882 and 7889 = GCF of 7889 and 7882

Related Greatest Common Factor of 7882

Related Greatest Common Factor of 7889

Frequently Asked Questions on GCF of 7882 and 7889

1. What is the GCF of 7882 and 7889?

Answer: GCF of 7882 and 7889 is 7.

2. What are the Factors of 7882?

Answer: Factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882. There are 8 integers that are factors of 7882. The greatest factor of 7882 is 7882.

3. 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.

4. How to Find the GCF of 7882 and 7889?

Answer:

Greatest Common Factor of 7882 and 7889 = 7

Step 1: Find the prime factorization of 7882

7882 = 2 x 7 x 563

Step 2: Find the prime factorization of 7889

7889 = 7 x 7 x 7 x 23

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7882 and 7889 is 7