Greatest Common Factor of 7878 and 7882

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 7878, 7882 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7878 and 7882 is 2.

GCF(7878,7882) = 2

GCF of 7878 and 7882

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

GCF of:
and

Greatest Common Factor of 7878 and 7882

GCF of 7878 and 7882 is 2

Prime Factorization of 7878


2 7878
3 3939
13 1313
101 101
1

Prime factors of 7878 are 2,3,13,101. Prime factorization of 7878 in exponential form is:

7878 = 21×31×131×1011

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

∴ So by taking common prime factors GCF of 7878 and 7882 is 2

Greatest Common Factor of 7878 and 7882 by matching factors method

Factors of 7878

List of positive integer factors of 7878 that divides 7878 without a remainder.

1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878

Factors of 7882

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

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

Greatest Common Factor

We found the factors and prime factorization of 7878 and 7882. The biggest common factor number is the GCF number.
So the greatest common factor 7878 and 7882 is 2.

Also check out the Least Common Multiple of 7878 and 7882

Properties of GCF 7878 and 7882

(i) The GCF of 7878 and 7882 is associative

GCF of 7878 and 7882 = GCF of 7882 and 7878

Related Greatest Common Factor of 7878

Related Greatest Common Factor of 7882

Frequently Asked Questions on GCF of 7878 and 7882

1. What is the GCF of 7878 and 7882?

Answer: GCF of 7878 and 7882 is 2.

2. What are the Factors of 7878?

Answer: Factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878. There are 16 integers that are factors of 7878. The greatest factor of 7878 is 7878.

3. 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.

4. How to Find the GCF of 7878 and 7882?

Answer:

Greatest Common Factor of 7878 and 7882 = 2

Step 1: Find the prime factorization of 7878

7878 = 2 x 3 x 13 x 101

Step 2: Find the prime factorization of 7882

7882 = 2 x 7 x 563

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7878 and 7882 is 2