Greatest Common Factor of 7929 and 7932

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 7929, 7932 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7929 and 7932 is 3.

GCF(7929,7932) = 3

GCF of 7929 and 7932

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

GCF of:
and

Greatest Common Factor of 7929 and 7932

GCF of 7929 and 7932 is 3

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

Prime Factorization of 7932


2 7932
2 3966
3 1983
661 661
1

Prime factors of 7932 are 2,3,661. Prime factorization of 7932 in exponential form is:

7932 = 22×31×6611

∴ So by taking common prime factors GCF of 7929 and 7932 is 3

Greatest Common Factor of 7929 and 7932 by matching factors method

Factors of 7929

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

1,3,9,881,2643,7929

Factors of 7932

List of positive integer factors of 7932 that divides 7932 without a remainder.

1,2,3,4,6,12,661,1322,1983,2644,3966,7932

Greatest Common Factor

We found the factors and prime factorization of 7929 and 7932. The biggest common factor number is the GCF number.
So the greatest common factor 7929 and 7932 is 3.

Also check out the Least Common Multiple of 7929 and 7932

Properties of GCF 7929 and 7932

(i) The GCF of 7929 and 7932 is associative

GCF of 7929 and 7932 = GCF of 7932 and 7929

Related Greatest Common Factor of 7929

Related Greatest Common Factor of 7932

Frequently Asked Questions on GCF of 7929 and 7932

1. What is the GCF of 7929 and 7932?

Answer: GCF of 7929 and 7932 is 3.

2. 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.

3. What are the Factors of 7932?

Answer: Factors of 7932 are 1, 2, 3, 4, 6, 12, 661, 1322, 1983, 2644, 3966, 7932. There are 12 integers that are factors of 7932. The greatest factor of 7932 is 7932.

4. How to Find the GCF of 7929 and 7932?

Answer:

Greatest Common Factor of 7929 and 7932 = 3

Step 1: Find the prime factorization of 7929

7929 = 3 x 3 x 881

Step 2: Find the prime factorization of 7932

7932 = 2 x 2 x 3 x 661

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 7929 and 7932 is 3