Greatest Common Factor of 7894 and 7898

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 7894, 7898 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7894 and 7898 is 2.

GCF(7894,7898) = 2

GCF of 7894 and 7898

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

GCF of:
and

Greatest Common Factor of 7894 and 7898

GCF of 7894 and 7898 is 2

Prime Factorization of 7894


2 7894
3947 3947
1

Prime factors of 7894 are 2,3947. Prime factorization of 7894 in exponential form is:

7894 = 21×39471

Prime Factorization of 7898


2 7898
11 3949
359 359
1

Prime factors of 7898 are 2,11,359. Prime factorization of 7898 in exponential form is:

7898 = 21×111×3591

∴ So by taking common prime factors GCF of 7894 and 7898 is 2

Greatest Common Factor of 7894 and 7898 by matching factors method

Factors of 7894

List of positive integer factors of 7894 that divides 7894 without a remainder.

1,2,3947,7894

Factors of 7898

List of positive integer factors of 7898 that divides 7898 without a remainder.

1,2,11,22,359,718,3949,7898

Greatest Common Factor

We found the factors and prime factorization of 7894 and 7898. The biggest common factor number is the GCF number.
So the greatest common factor 7894 and 7898 is 2.

Also check out the Least Common Multiple of 7894 and 7898

Properties of GCF 7894 and 7898

(i) The GCF of 7894 and 7898 is associative

GCF of 7894 and 7898 = GCF of 7898 and 7894

Related Greatest Common Factor of 7894

Related Greatest Common Factor of 7898

Frequently Asked Questions on GCF of 7894 and 7898

1. What is the GCF of 7894 and 7898?

Answer: GCF of 7894 and 7898 is 2.

2. What are the Factors of 7894?

Answer: Factors of 7894 are 1, 2, 3947, 7894. There are 4 integers that are factors of 7894. The greatest factor of 7894 is 7894.

3. What are the Factors of 7898?

Answer: Factors of 7898 are 1, 2, 11, 22, 359, 718, 3949, 7898. There are 8 integers that are factors of 7898. The greatest factor of 7898 is 7898.

4. How to Find the GCF of 7894 and 7898?

Answer:

Greatest Common Factor of 7894 and 7898 = 2

Step 1: Find the prime factorization of 7894

7894 = 2 x 3947

Step 2: Find the prime factorization of 7898

7898 = 2 x 11 x 359

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 7894 and 7898 is 2