Greatest Common Factor of 7923 and 7929

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 7923, 7929 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7923 and 7929 is 3.

GCF(7923,7929) = 3

GCF of 7923 and 7929

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

GCF of:
and

Greatest Common Factor of 7923 and 7929

GCF of 7923 and 7929 is 3

Prime Factorization of 7923


3 7923
19 2641
139 139
1

Prime factors of 7923 are 3,19,139. Prime factorization of 7923 in exponential form is:

7923 = 31×191×1391

Prime Factorization of 7929


3 7929
3 2643
881 881
1

Prime factors of 7929 are 3,881. Prime factorization of 7929 in exponential form is:

7929 = 32×8811

∴ So by taking common prime factors GCF of 7923 and 7929 is 3

Greatest Common Factor of 7923 and 7929 by matching factors method

Factors of 7923

List of positive integer factors of 7923 that divides 7923 without a remainder.

1,3,19,57,139,417,2641,7923

Factors of 7929

List of positive integer factors of 7929 that divides 7929 without a remainder.

1,3,9,881,2643,7929

Greatest Common Factor

We found the factors and prime factorization of 7923 and 7929. The biggest common factor number is the GCF number.
So the greatest common factor 7923 and 7929 is 3.

Also check out the Least Common Multiple of 7923 and 7929

Properties of GCF 7923 and 7929

(i) The GCF of 7923 and 7929 is associative

GCF of 7923 and 7929 = GCF of 7929 and 7923

Related Greatest Common Factor of 7923

Related Greatest Common Factor of 7929

Frequently Asked Questions on GCF of 7923 and 7929

1. What is the GCF of 7923 and 7929?

Answer: GCF of 7923 and 7929 is 3.

2. What are the Factors of 7923?

Answer: Factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923. There are 8 integers that are factors of 7923. The greatest factor of 7923 is 7923.

3. What are the Factors of 7929?

Answer: Factors of 7929 are 1, 3, 9, 881, 2643, 7929. There are 6 integers that are factors of 7929. The greatest factor of 7929 is 7929.

4. How to Find the GCF of 7923 and 7929?

Answer:

Greatest Common Factor of 7923 and 7929 = 3

Step 1: Find the prime factorization of 7923

7923 = 3 x 19 x 139

Step 2: Find the prime factorization of 7929

7929 = 3 x 3 x 881

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7923 and 7929 is 3