Greatest Common Factor of 7923 and 7928

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, 7928 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7923 and 7928 is 1.

GCF(7923,7928) = 1

GCF of 7923 and 7928

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

GCF of:
and

Greatest Common Factor of 7923 and 7928

GCF of 7923 and 7928 is 1

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 7928


2 7928
2 3964
2 1982
991 991
1

Prime factors of 7928 are 2,991. Prime factorization of 7928 in exponential form is:

7928 = 23×9911

∴ So by taking common prime factors GCF of 7923 and 7928 is 1

Greatest Common Factor of 7923 and 7928 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 7928

List of positive integer factors of 7928 that divides 7928 without a remainder.

1,2,4,8,991,1982,3964,7928

Greatest Common Factor

We found the factors and prime factorization of 7923 and 7928. The biggest common factor number is the GCF number.
So the greatest common factor 7923 and 7928 is 1.

Also check out the Least Common Multiple of 7923 and 7928

Properties of GCF 7923 and 7928

(i) The GCF of 7923 and 7928 is associative

GCF of 7923 and 7928 = GCF of 7928 and 7923

Related Greatest Common Factor of 7923

Related Greatest Common Factor of 7928

Frequently Asked Questions on GCF of 7923 and 7928

1. What is the GCF of 7923 and 7928?

Answer: GCF of 7923 and 7928 is 1.

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 7928?

Answer: Factors of 7928 are 1, 2, 4, 8, 991, 1982, 3964, 7928. There are 8 integers that are factors of 7928. The greatest factor of 7928 is 7928.

4. How to Find the GCF of 7923 and 7928?

Answer:

Greatest Common Factor of 7923 and 7928 = 1

Step 1: Find the prime factorization of 7923

7923 = 3 x 19 x 139

Step 2: Find the prime factorization of 7928

7928 = 2 x 2 x 2 x 991

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 7923 and 7928 is 1