Greatest Common Factor of 8923 and 8931

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, 8931 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8923 and 8931 is 1.

GCF(8923,8931) = 1

GCF of 8923 and 8931

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

GCF of:
and

Greatest Common Factor of 8923 and 8931

GCF of 8923 and 8931 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 8931


3 8931
13 2977
229 229
1

Prime factors of 8931 are 3.Prime factorization of 8931 in exponential form is:

8931 = 31×131×2291

∴ So by taking common prime factors GCF of 8923 and 8931 is 1

Greatest Common Factor of 8923 and 8931 by matching factors method

Factors of 8923

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

1,8923

Factors of 8931

List of positive integer factors of 8931 that divides 8931 without a remainder.

1,3,13,39,229,687,2977,8931

Greatest Common Factor

We found the factors and prime factorization of 8923 and 8931. The biggest common factor number is the GCF number.
So the greatest common factor 8923 and 8931 is 1.

Also check out the Least Common Multiple of 8923 and 8931

Properties of GCF 8923 and 8931

(i) The GCF of 8923 and 8931 is associative

GCF of 8923 and 8931 = GCF of 8931 and 8923

Frequently Asked Questions on GCF of 8923 and 8931

1. What is the GCF of 8923 and 8931?

Answer: GCF of 8923 and 8931 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 8931?

Answer: Factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931. There are 8 integers that are factors of 8931. The greatest factor of 8931 is 8931.

4. How to Find the GCF of 8923 and 8931?

Answer:

Greatest Common Factor of 8923 and 8931 = 1

Step 1: Find the prime factorization of 8923

8923 = 8923

Step 2: Find the prime factorization of 8931

8931 = 3 x 13 x 229

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 8931 is 1