Greatest Common Factor of 7902 and 7906

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 7902, 7906 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7902 and 7906 is 2.

GCF(7902,7906) = 2

GCF of 7902 and 7906

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

GCF of:
and

Greatest Common Factor of 7902 and 7906

GCF of 7902 and 7906 is 2

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

Prime Factorization of 7906


2 7906
59 3953
67 67
1

Prime factors of 7906 are 2,59,67. Prime factorization of 7906 in exponential form is:

7906 = 21×591×671

∴ So by taking common prime factors GCF of 7902 and 7906 is 2

Greatest Common Factor of 7902 and 7906 by matching factors method

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

Factors of 7906

List of positive integer factors of 7906 that divides 7906 without a remainder.

1,2,59,67,118,134,3953,7906

Greatest Common Factor

We found the factors and prime factorization of 7902 and 7906. The biggest common factor number is the GCF number.
So the greatest common factor 7902 and 7906 is 2.

Also check out the Least Common Multiple of 7902 and 7906

Properties of GCF 7902 and 7906

(i) The GCF of 7902 and 7906 is associative

GCF of 7902 and 7906 = GCF of 7906 and 7902

Related Greatest Common Factor of 7902

Related Greatest Common Factor of 7906

Frequently Asked Questions on GCF of 7902 and 7906

1. What is the GCF of 7902 and 7906?

Answer: GCF of 7902 and 7906 is 2.

2. 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.

3. What are the Factors of 7906?

Answer: Factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906. There are 8 integers that are factors of 7906. The greatest factor of 7906 is 7906.

4. How to Find the GCF of 7902 and 7906?

Answer:

Greatest Common Factor of 7902 and 7906 = 2

Step 1: Find the prime factorization of 7902

7902 = 2 x 3 x 3 x 439

Step 2: Find the prime factorization of 7906

7906 = 2 x 59 x 67

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 7902 and 7906 is 2