Greatest Common Factor of 8691 and 8697

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 8691, 8697 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8691 and 8697 is 3.

GCF(8691,8697) = 3

GCF of 8691 and 8697

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

GCF of:
and

Greatest Common Factor of 8691 and 8697

GCF of 8691 and 8697 is 3

Prime Factorization of 8691


3 8691
2897 2897
1

Prime factors of 8691 are 3,2897. Prime factorization of 8691 in exponential form is:

8691 = 31×28971

Prime Factorization of 8697


3 8697
13 2899
223 223
1

Prime factors of 8697 are 3,13,223. Prime factorization of 8697 in exponential form is:

8697 = 31×131×2231

∴ So by taking common prime factors GCF of 8691 and 8697 is 3

Greatest Common Factor of 8691 and 8697 by matching factors method

Factors of 8691

List of positive integer factors of 8691 that divides 8691 without a remainder.

1,3,2897,8691

Factors of 8697

List of positive integer factors of 8697 that divides 8697 without a remainder.

1,3,13,39,223,669,2899,8697

Greatest Common Factor

We found the factors and prime factorization of 8691 and 8697. The biggest common factor number is the GCF number.
So the greatest common factor 8691 and 8697 is 3.

Also check out the Least Common Multiple of 8691 and 8697

Properties of GCF 8691 and 8697

(i) The GCF of 8691 and 8697 is associative

GCF of 8691 and 8697 = GCF of 8697 and 8691

Related Greatest Common Factor of 8691

Related Greatest Common Factor of 8697

Frequently Asked Questions on GCF of 8691 and 8697

1. What is the GCF of 8691 and 8697?

Answer: GCF of 8691 and 8697 is 3.

2. What are the Factors of 8691?

Answer: Factors of 8691 are 1, 3, 2897, 8691. There are 4 integers that are factors of 8691. The greatest factor of 8691 is 8691.

3. What are the Factors of 8697?

Answer: Factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697. There are 8 integers that are factors of 8697. The greatest factor of 8697 is 8697.

4. How to Find the GCF of 8691 and 8697?

Answer:

Greatest Common Factor of 8691 and 8697 = 3

Step 1: Find the prime factorization of 8691

8691 = 3 x 2897

Step 2: Find the prime factorization of 8697

8697 = 3 x 13 x 223

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 8691 and 8697 is 3