Greatest Common Factor of 8673 and 8679

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 8673, 8679 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8673 and 8679 is 3.

GCF(8673,8679) = 3

GCF of 8673 and 8679

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

GCF of:
and

Greatest Common Factor of 8673 and 8679

GCF of 8673 and 8679 is 3

Prime Factorization of 8673


3 8673
7 2891
7 413
59 59
1

Prime factors of 8673 are 3,7,59. Prime factorization of 8673 in exponential form is:

8673 = 31×72×591

Prime Factorization of 8679


3 8679
11 2893
263 263
1

Prime factors of 8679 are 3,11,263. Prime factorization of 8679 in exponential form is:

8679 = 31×111×2631

∴ So by taking common prime factors GCF of 8673 and 8679 is 3

Greatest Common Factor of 8673 and 8679 by matching factors method

Factors of 8673

List of positive integer factors of 8673 that divides 8673 without a remainder.

1,3,7,21,49,59,147,177,413,1239,2891,8673

Factors of 8679

List of positive integer factors of 8679 that divides 8679 without a remainder.

1,3,11,33,263,789,2893,8679

Greatest Common Factor

We found the factors and prime factorization of 8673 and 8679. The biggest common factor number is the GCF number.
So the greatest common factor 8673 and 8679 is 3.

Also check out the Least Common Multiple of 8673 and 8679

Properties of GCF 8673 and 8679

(i) The GCF of 8673 and 8679 is associative

GCF of 8673 and 8679 = GCF of 8679 and 8673

Related Greatest Common Factor of 8673

Related Greatest Common Factor of 8679

Frequently Asked Questions on GCF of 8673 and 8679

1. What is the GCF of 8673 and 8679?

Answer: GCF of 8673 and 8679 is 3.

2. What are the Factors of 8673?

Answer: Factors of 8673 are 1, 3, 7, 21, 49, 59, 147, 177, 413, 1239, 2891, 8673. There are 12 integers that are factors of 8673. The greatest factor of 8673 is 8673.

3. What are the Factors of 8679?

Answer: Factors of 8679 are 1, 3, 11, 33, 263, 789, 2893, 8679. There are 8 integers that are factors of 8679. The greatest factor of 8679 is 8679.

4. How to Find the GCF of 8673 and 8679?

Answer:

Greatest Common Factor of 8673 and 8679 = 3

Step 1: Find the prime factorization of 8673

8673 = 3 x 7 x 7 x 59

Step 2: Find the prime factorization of 8679

8679 = 3 x 11 x 263

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 8673 and 8679 is 3