Greatest Common Factor of 9683 and 9687

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 9683, 9687 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9683 and 9687 is 1.

GCF(9683,9687) = 1

GCF of 9683 and 9687

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

GCF of:
and

Greatest Common Factor of 9683 and 9687

GCF of 9683 and 9687 is 1

Prime Factorization of 9683


23 9683
421 421
1

Prime factors of 9683 are 23,421. Prime factorization of 9683 in exponential form is:

9683 = 231×4211

Prime Factorization of 9687


3 9687
3229 3229
1

Prime factors of 9687 are 3,3229. Prime factorization of 9687 in exponential form is:

9687 = 31×32291

∴ So by taking common prime factors GCF of 9683 and 9687 is 1

Greatest Common Factor of 9683 and 9687 by matching factors method

Factors of 9683

List of positive integer factors of 9683 that divides 9683 without a remainder.

1,23,421,9683

Factors of 9687

List of positive integer factors of 9687 that divides 9687 without a remainder.

1,3,3229,9687

Greatest Common Factor

We found the factors and prime factorization of 9683 and 9687. The biggest common factor number is the GCF number.
So the greatest common factor 9683 and 9687 is 1.

Also check out the Least Common Multiple of 9683 and 9687

Properties of GCF 9683 and 9687

(i) The GCF of 9683 and 9687 is associative

GCF of 9683 and 9687 = GCF of 9687 and 9683

Frequently Asked Questions on GCF of 9683 and 9687

1. What is the GCF of 9683 and 9687?

Answer: GCF of 9683 and 9687 is 1.

2. What are the Factors of 9683?

Answer: Factors of 9683 are 1, 23, 421, 9683. There are 4 integers that are factors of 9683. The greatest factor of 9683 is 9683.

3. What are the Factors of 9687?

Answer: Factors of 9687 are 1, 3, 3229, 9687. There are 4 integers that are factors of 9687. The greatest factor of 9687 is 9687.

4. How to Find the GCF of 9683 and 9687?

Answer:

Greatest Common Factor of 9683 and 9687 = 1

Step 1: Find the prime factorization of 9683

9683 = 23 x 421

Step 2: Find the prime factorization of 9687

9687 = 3 x 3229

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 9683 and 9687 is 1