Greatest Common Factor of 7874 and 7878

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 7874, 7878 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7874 and 7878 is 2.

GCF(7874,7878) = 2

GCF of 7874 and 7878

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

GCF of:
and

Greatest Common Factor of 7874 and 7878

GCF of 7874 and 7878 is 2

Prime Factorization of 7874


2 7874
31 3937
127 127
1

Prime factors of 7874 are 2,31,127. Prime factorization of 7874 in exponential form is:

7874 = 21×311×1271

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

∴ So by taking common prime factors GCF of 7874 and 7878 is 2

Greatest Common Factor of 7874 and 7878 by matching factors method

Factors of 7874

List of positive integer factors of 7874 that divides 7874 without a remainder.

1,2,31,62,127,254,3937,7874

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

Greatest Common Factor

We found the factors and prime factorization of 7874 and 7878. The biggest common factor number is the GCF number.
So the greatest common factor 7874 and 7878 is 2.

Also check out the Least Common Multiple of 7874 and 7878

Properties of GCF 7874 and 7878

(i) The GCF of 7874 and 7878 is associative

GCF of 7874 and 7878 = GCF of 7878 and 7874

Related Greatest Common Factor of 7874

Related Greatest Common Factor of 7878

Frequently Asked Questions on GCF of 7874 and 7878

1. What is the GCF of 7874 and 7878?

Answer: GCF of 7874 and 7878 is 2.

2. What are the Factors of 7874?

Answer: Factors of 7874 are 1, 2, 31, 62, 127, 254, 3937, 7874. There are 8 integers that are factors of 7874. The greatest factor of 7874 is 7874.

3. 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.

4. How to Find the GCF of 7874 and 7878?

Answer:

Greatest Common Factor of 7874 and 7878 = 2

Step 1: Find the prime factorization of 7874

7874 = 2 x 31 x 127

Step 2: Find the prime factorization of 7878

7878 = 2 x 3 x 13 x 101

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 7874 and 7878 is 2