Greatest Common Factor of 9657 and 9665

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 9657, 9665 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9657 and 9665 is 1.

GCF(9657,9665) = 1

GCF of 9657 and 9665

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

GCF of:
and

Greatest Common Factor of 9657 and 9665

GCF of 9657 and 9665 is 1

Prime Factorization of 9657


3 9657
3 3219
29 1073
37 37
1

Prime factors of 9657 are 3,29,37. Prime factorization of 9657 in exponential form is:

9657 = 32×291×371

Prime Factorization of 9665


5 9665
1933 1933
1

Prime factors of 9665 are 5,1933. Prime factorization of 9665 in exponential form is:

9665 = 51×19331

∴ So by taking common prime factors GCF of 9657 and 9665 is 1

Greatest Common Factor of 9657 and 9665 by matching factors method

Factors of 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1,3,9,29,37,87,111,261,333,1073,3219,9657

Factors of 9665

List of positive integer factors of 9665 that divides 9665 without a remainder.

1,5,1933,9665

Greatest Common Factor

We found the factors and prime factorization of 9657 and 9665. The biggest common factor number is the GCF number.
So the greatest common factor 9657 and 9665 is 1.

Also check out the Least Common Multiple of 9657 and 9665

Properties of GCF 9657 and 9665

(i) The GCF of 9657 and 9665 is associative

GCF of 9657 and 9665 = GCF of 9665 and 9657

Related Greatest Common Factor of 9657

Related Greatest Common Factor of 9665

Frequently Asked Questions on GCF of 9657 and 9665

1. What is the GCF of 9657 and 9665?

Answer: GCF of 9657 and 9665 is 1.

2. What are the Factors of 9657?

Answer: Factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657. There are 12 integers that are factors of 9657. The greatest factor of 9657 is 9657.

3. What are the Factors of 9665?

Answer: Factors of 9665 are 1, 5, 1933, 9665. There are 4 integers that are factors of 9665. The greatest factor of 9665 is 9665.

4. How to Find the GCF of 9657 and 9665?

Answer:

Greatest Common Factor of 9657 and 9665 = 1

Step 1: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

Step 2: Find the prime factorization of 9665

9665 = 5 x 1933

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 9657 and 9665 is 1