Greatest Common Factor of 8674 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 8674, 8679 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8674 and 8679 is 1.

GCF(8674,8679) = 1

GCF of 8674 and 8679

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

GCF of:
and

Greatest Common Factor of 8674 and 8679

GCF of 8674 and 8679 is 1

Prime Factorization of 8674


2 8674
4337 4337
1

Prime factors of 8674 are 2,4337. Prime factorization of 8674 in exponential form is:

8674 = 21×43371

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 8674 and 8679 is 1

Greatest Common Factor of 8674 and 8679 by matching factors method

Factors of 8674

List of positive integer factors of 8674 that divides 8674 without a remainder.

1,2,4337,8674

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 8674 and 8679. The biggest common factor number is the GCF number.
So the greatest common factor 8674 and 8679 is 1.

Also check out the Least Common Multiple of 8674 and 8679

Properties of GCF 8674 and 8679

(i) The GCF of 8674 and 8679 is associative

GCF of 8674 and 8679 = GCF of 8679 and 8674

Frequently Asked Questions on GCF of 8674 and 8679

1. What is the GCF of 8674 and 8679?

Answer: GCF of 8674 and 8679 is 1.

2. What are the Factors of 8674?

Answer: Factors of 8674 are 1, 2, 4337, 8674. There are 4 integers that are factors of 8674. The greatest factor of 8674 is 8674.

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 8674 and 8679?

Answer:

Greatest Common Factor of 8674 and 8679 = 1

Step 1: Find the prime factorization of 8674

8674 = 2 x 4337

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 = = 1

Step 4: Therefore, the greatest common factor of 8674 and 8679 is 1