Greatest Common Factor of 8659 and 8667

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 8659, 8667 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8659 and 8667 is 1.

GCF(8659,8667) = 1

GCF of 8659 and 8667

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

GCF of:
and

Greatest Common Factor of 8659 and 8667

GCF of 8659 and 8667 is 1

Prime Factorization of 8659


7 8659
1237 1237
1

Prime factors of 8659 are 7,1237. Prime factorization of 8659 in exponential form is:

8659 = 71×12371

Prime Factorization of 8667


3 8667
3 2889
3 963
3 321
107 107
1

Prime factors of 8667 are 3,107. Prime factorization of 8667 in exponential form is:

8667 = 34×1071

∴ So by taking common prime factors GCF of 8659 and 8667 is 1

Greatest Common Factor of 8659 and 8667 by matching factors method

Factors of 8659

List of positive integer factors of 8659 that divides 8659 without a remainder.

1,7,1237,8659

Factors of 8667

List of positive integer factors of 8667 that divides 8667 without a remainder.

1,3,9,27,81,107,321,963,2889,8667

Greatest Common Factor

We found the factors and prime factorization of 8659 and 8667. The biggest common factor number is the GCF number.
So the greatest common factor 8659 and 8667 is 1.

Also check out the Least Common Multiple of 8659 and 8667

Properties of GCF 8659 and 8667

(i) The GCF of 8659 and 8667 is associative

GCF of 8659 and 8667 = GCF of 8667 and 8659

Related Greatest Common Factor of 8659

Related Greatest Common Factor of 8667

Frequently Asked Questions on GCF of 8659 and 8667

1. What is the GCF of 8659 and 8667?

Answer: GCF of 8659 and 8667 is 1.

2. What are the Factors of 8659?

Answer: Factors of 8659 are 1, 7, 1237, 8659. There are 4 integers that are factors of 8659. The greatest factor of 8659 is 8659.

3. What are the Factors of 8667?

Answer: Factors of 8667 are 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667. There are 10 integers that are factors of 8667. The greatest factor of 8667 is 8667.

4. How to Find the GCF of 8659 and 8667?

Answer:

Greatest Common Factor of 8659 and 8667 = 1

Step 1: Find the prime factorization of 8659

8659 = 7 x 1237

Step 2: Find the prime factorization of 8667

8667 = 3 x 3 x 3 x 3 x 107

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 8659 and 8667 is 1