Greatest Common Factor of 7908 and 7909

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 7908, 7909 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7908 and 7909 is 1.

GCF(7908,7909) = 1

GCF of 7908 and 7909

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

GCF of:
and

Greatest Common Factor of 7908 and 7909

GCF of 7908 and 7909 is 1

Prime Factorization of 7908


2 7908
2 3954
3 1977
659 659
1

Prime factors of 7908 are 2,3,659. Prime factorization of 7908 in exponential form is:

7908 = 22×31×6591

Prime Factorization of 7909


11 7909
719 719
1

Prime factors of 7909 are 11,719. Prime factorization of 7909 in exponential form is:

7909 = 111×7191

∴ So by taking common prime factors GCF of 7908 and 7909 is 1

Greatest Common Factor of 7908 and 7909 by matching factors method

Factors of 7908

List of positive integer factors of 7908 that divides 7908 without a remainder.

1,2,3,4,6,12,659,1318,1977,2636,3954,7908

Factors of 7909

List of positive integer factors of 7909 that divides 7909 without a remainder.

1,11,719,7909

Greatest Common Factor

We found the factors and prime factorization of 7908 and 7909. The biggest common factor number is the GCF number.
So the greatest common factor 7908 and 7909 is 1.

Also check out the Least Common Multiple of 7908 and 7909

Properties of GCF 7908 and 7909

(i) The GCF of 7908 and 7909 is associative

GCF of 7908 and 7909 = GCF of 7909 and 7908

Related Greatest Common Factor of 7908

Related Greatest Common Factor of 7909

Frequently Asked Questions on GCF of 7908 and 7909

1. What is the GCF of 7908 and 7909?

Answer: GCF of 7908 and 7909 is 1.

2. What are the Factors of 7908?

Answer: Factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908. There are 12 integers that are factors of 7908. The greatest factor of 7908 is 7908.

3. What are the Factors of 7909?

Answer: Factors of 7909 are 1, 11, 719, 7909. There are 4 integers that are factors of 7909. The greatest factor of 7909 is 7909.

4. How to Find the GCF of 7908 and 7909?

Answer:

Greatest Common Factor of 7908 and 7909 = 1

Step 1: Find the prime factorization of 7908

7908 = 2 x 2 x 3 x 659

Step 2: Find the prime factorization of 7909

7909 = 11 x 719

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7908 and 7909 is 1