Greatest Common Factor of 9657 and 9660

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, 9660 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9657 and 9660 is 3.

GCF(9657,9660) = 3

GCF of 9657 and 9660

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

GCF of:
and

Greatest Common Factor of 9657 and 9660

GCF of 9657 and 9660 is 3

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 9660


2 9660
2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 9660 are 2,3,5,7,23. Prime factorization of 9660 in exponential form is:

9660 = 22×31×51×71×231

∴ So by taking common prime factors GCF of 9657 and 9660 is 3

Greatest Common Factor of 9657 and 9660 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 9660

List of positive integer factors of 9660 that divides 9660 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660

Greatest Common Factor

We found the factors and prime factorization of 9657 and 9660. The biggest common factor number is the GCF number.
So the greatest common factor 9657 and 9660 is 3.

Also check out the Least Common Multiple of 9657 and 9660

Properties of GCF 9657 and 9660

(i) The GCF of 9657 and 9660 is associative

GCF of 9657 and 9660 = GCF of 9660 and 9657

Related Greatest Common Factor of 9657

Related Greatest Common Factor of 9660

Frequently Asked Questions on GCF of 9657 and 9660

1. What is the GCF of 9657 and 9660?

Answer: GCF of 9657 and 9660 is 3.

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 9660?

Answer: Factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660. There are 48 integers that are factors of 9660. The greatest factor of 9660 is 9660.

4. How to Find the GCF of 9657 and 9660?

Answer:

Greatest Common Factor of 9657 and 9660 = 3

Step 1: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

Step 2: Find the prime factorization of 9660

9660 = 2 x 2 x 3 x 5 x 7 x 23

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 9657 and 9660 is 3