Greatest Common Factor of 8697 and 8703

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 8697, 8703 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8697 and 8703 is 3.

GCF(8697,8703) = 3

GCF of 8697 and 8703

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

GCF of:
and

Greatest Common Factor of 8697 and 8703

GCF of 8697 and 8703 is 3

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

Prime Factorization of 8703


3 8703
3 2901
967 967
1

Prime factors of 8703 are 3,967. Prime factorization of 8703 in exponential form is:

8703 = 32×9671

∴ So by taking common prime factors GCF of 8697 and 8703 is 3

Greatest Common Factor of 8697 and 8703 by matching factors method

Factors of 8697

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

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

Factors of 8703

List of positive integer factors of 8703 that divides 8703 without a remainder.

1,3,9,967,2901,8703

Greatest Common Factor

We found the factors and prime factorization of 8697 and 8703. The biggest common factor number is the GCF number.
So the greatest common factor 8697 and 8703 is 3.

Also check out the Least Common Multiple of 8697 and 8703

Properties of GCF 8697 and 8703

(i) The GCF of 8697 and 8703 is associative

GCF of 8697 and 8703 = GCF of 8703 and 8697

Related Greatest Common Factor of 8697

Related Greatest Common Factor of 8703

Frequently Asked Questions on GCF of 8697 and 8703

1. What is the GCF of 8697 and 8703?

Answer: GCF of 8697 and 8703 is 3.

2. 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.

3. What are the Factors of 8703?

Answer: Factors of 8703 are 1, 3, 9, 967, 2901, 8703. There are 6 integers that are factors of 8703. The greatest factor of 8703 is 8703.

4. How to Find the GCF of 8697 and 8703?

Answer:

Greatest Common Factor of 8697 and 8703 = 3

Step 1: Find the prime factorization of 8697

8697 = 3 x 13 x 223

Step 2: Find the prime factorization of 8703

8703 = 3 x 3 x 967

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 8697 and 8703 is 3