Greatest Common Factor of 7894 and 7902

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, 7902 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7894 and 7902 is 2.

GCF(7894,7902) = 2

GCF of 7894 and 7902

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

GCF of:
and

Greatest Common Factor of 7894 and 7902

GCF of 7894 and 7902 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 7902


2 7902
3 3951
3 1317
439 439
1

Prime factors of 7902 are 2,3,439. Prime factorization of 7902 in exponential form is:

7902 = 21×32×4391

∴ So by taking common prime factors GCF of 7894 and 7902 is 2

Greatest Common Factor of 7894 and 7902 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 7902

List of positive integer factors of 7902 that divides 7902 without a remainder.

1,2,3,6,9,18,439,878,1317,2634,3951,7902

Greatest Common Factor

We found the factors and prime factorization of 7894 and 7902. The biggest common factor number is the GCF number.
So the greatest common factor 7894 and 7902 is 2.

Also check out the Least Common Multiple of 7894 and 7902

Properties of GCF 7894 and 7902

(i) The GCF of 7894 and 7902 is associative

GCF of 7894 and 7902 = GCF of 7902 and 7894

Related Greatest Common Factor of 7894

Related Greatest Common Factor of 7902

Frequently Asked Questions on GCF of 7894 and 7902

1. What is the GCF of 7894 and 7902?

Answer: GCF of 7894 and 7902 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 7902?

Answer: Factors of 7902 are 1, 2, 3, 6, 9, 18, 439, 878, 1317, 2634, 3951, 7902. There are 12 integers that are factors of 7902. The greatest factor of 7902 is 7902.

4. How to Find the GCF of 7894 and 7902?

Answer:

Greatest Common Factor of 7894 and 7902 = 2

Step 1: Find the prime factorization of 7894

7894 = 2 x 3947

Step 2: Find the prime factorization of 7902

7902 = 2 x 3 x 3 x 439

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 7902 is 2