Greatest Common Factor of 9651 and 9657

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 9651, 9657 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9651 and 9657 is 3.

GCF(9651,9657) = 3

GCF of 9651 and 9657

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

GCF of:
and

Greatest Common Factor of 9651 and 9657

GCF of 9651 and 9657 is 3

Prime Factorization of 9651


3 9651
3217 3217
1

Prime factors of 9651 are 3,3217. Prime factorization of 9651 in exponential form is:

9651 = 31×32171

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

∴ So by taking common prime factors GCF of 9651 and 9657 is 3

Greatest Common Factor of 9651 and 9657 by matching factors method

Factors of 9651

List of positive integer factors of 9651 that divides 9651 without a remainder.

1,3,3217,9651

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

Greatest Common Factor

We found the factors and prime factorization of 9651 and 9657. The biggest common factor number is the GCF number.
So the greatest common factor 9651 and 9657 is 3.

Also check out the Least Common Multiple of 9651 and 9657

Properties of GCF 9651 and 9657

(i) The GCF of 9651 and 9657 is associative

GCF of 9651 and 9657 = GCF of 9657 and 9651

Related Greatest Common Factor of 9651

Related Greatest Common Factor of 9657

Frequently Asked Questions on GCF of 9651 and 9657

1. What is the GCF of 9651 and 9657?

Answer: GCF of 9651 and 9657 is 3.

2. What are the Factors of 9651?

Answer: Factors of 9651 are 1, 3, 3217, 9651. There are 4 integers that are factors of 9651. The greatest factor of 9651 is 9651.

3. 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.

4. How to Find the GCF of 9651 and 9657?

Answer:

Greatest Common Factor of 9651 and 9657 = 3

Step 1: Find the prime factorization of 9651

9651 = 3 x 3217

Step 2: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

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 9651 and 9657 is 3