Greatest Common Factor of 8923 and 8924

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 8923, 8924 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8923 and 8924 is 1.

GCF(8923,8924) = 1

GCF of 8923 and 8924

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

GCF of:
and

Greatest Common Factor of 8923 and 8924

GCF of 8923 and 8924 is 1

Prime Factorization of 8923


8923 8923
1

Prime factors of 8923 are 8923. Prime factorization of 8923 in exponential form is:

8923 = 89231

Prime Factorization of 8924


2 8924
2 4462
23 2231
97 97
1

Prime factors of 8924 are 2.Prime factorization of 8924 in exponential form is:

8924 = 22×231×971

∴ So by taking common prime factors GCF of 8923 and 8924 is 1

Greatest Common Factor of 8923 and 8924 by matching factors method

Factors of 8923

List of positive integer factors of 8923 that divides 8923 without a remainder.

1,8923

Factors of 8924

List of positive integer factors of 8924 that divides 8924 without a remainder.

1,2,4,23,46,92,97,194,388,2231,4462,8924

Greatest Common Factor

We found the factors and prime factorization of 8923 and 8924. The biggest common factor number is the GCF number.
So the greatest common factor 8923 and 8924 is 1.

Also check out the Least Common Multiple of 8923 and 8924

Properties of GCF 8923 and 8924

(i) The GCF of 8923 and 8924 is associative

GCF of 8923 and 8924 = GCF of 8924 and 8923

Frequently Asked Questions on GCF of 8923 and 8924

1. What is the GCF of 8923 and 8924?

Answer: GCF of 8923 and 8924 is 1.

2. What are the Factors of 8923?

Answer: Factors of 8923 are 1, 8923. There are 2 integers that are factors of 8923. The greatest factor of 8923 is 8923.

3. What are the Factors of 8924?

Answer: Factors of 8924 are 1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924. There are 12 integers that are factors of 8924. The greatest factor of 8924 is 8924.

4. How to Find the GCF of 8923 and 8924?

Answer:

Greatest Common Factor of 8923 and 8924 = 1

Step 1: Find the prime factorization of 8923

8923 = 8923

Step 2: Find the prime factorization of 8924

8924 = 2 x 2 x 23 x 97

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 8923 and 8924 is 1