Greatest Common Factor of 7882 and 7887

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, 7887 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7882 and 7887 is 1.

GCF(7882,7887) = 1

GCF of 7882 and 7887

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

GCF of:
and

Greatest Common Factor of 7882 and 7887

GCF of 7882 and 7887 is 1

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 7887


3 7887
11 2629
239 239
1

Prime factors of 7887 are 3,11,239. Prime factorization of 7887 in exponential form is:

7887 = 31×111×2391

∴ So by taking common prime factors GCF of 7882 and 7887 is 1

Greatest Common Factor of 7882 and 7887 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 7887

List of positive integer factors of 7887 that divides 7887 without a remainder.

1,3,11,33,239,717,2629,7887

Greatest Common Factor

We found the factors and prime factorization of 7882 and 7887. The biggest common factor number is the GCF number.
So the greatest common factor 7882 and 7887 is 1.

Also check out the Least Common Multiple of 7882 and 7887

Properties of GCF 7882 and 7887

(i) The GCF of 7882 and 7887 is associative

GCF of 7882 and 7887 = GCF of 7887 and 7882

Related Greatest Common Factor of 7882

Related Greatest Common Factor of 7887

Frequently Asked Questions on GCF of 7882 and 7887

1. What is the GCF of 7882 and 7887?

Answer: GCF of 7882 and 7887 is 1.

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 7887?

Answer: Factors of 7887 are 1, 3, 11, 33, 239, 717, 2629, 7887. There are 8 integers that are factors of 7887. The greatest factor of 7887 is 7887.

4. How to Find the GCF of 7882 and 7887?

Answer:

Greatest Common Factor of 7882 and 7887 = 1

Step 1: Find the prime factorization of 7882

7882 = 2 x 7 x 563

Step 2: Find the prime factorization of 7887

7887 = 3 x 11 x 239

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 7882 and 7887 is 1