Greatest Common Factor of 9657 and 9658

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, 9658 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9657 and 9658 is 1.

GCF(9657,9658) = 1

GCF of 9657 and 9658

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

GCF of:
and

Greatest Common Factor of 9657 and 9658

GCF of 9657 and 9658 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 9658


2 9658
11 4829
439 439
1

Prime factors of 9658 are 2,11,439. Prime factorization of 9658 in exponential form is:

9658 = 21×111×4391

∴ So by taking common prime factors GCF of 9657 and 9658 is 1

Greatest Common Factor of 9657 and 9658 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 9658

List of positive integer factors of 9658 that divides 9658 without a remainder.

1,2,11,22,439,878,4829,9658

Greatest Common Factor

We found the factors and prime factorization of 9657 and 9658. The biggest common factor number is the GCF number.
So the greatest common factor 9657 and 9658 is 1.

Also check out the Least Common Multiple of 9657 and 9658

Properties of GCF 9657 and 9658

(i) The GCF of 9657 and 9658 is associative

GCF of 9657 and 9658 = GCF of 9658 and 9657

Related Greatest Common Factor of 9657

Related Greatest Common Factor of 9658

Frequently Asked Questions on GCF of 9657 and 9658

1. What is the GCF of 9657 and 9658?

Answer: GCF of 9657 and 9658 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 9658?

Answer: Factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658. There are 8 integers that are factors of 9658. The greatest factor of 9658 is 9658.

4. How to Find the GCF of 9657 and 9658?

Answer:

Greatest Common Factor of 9657 and 9658 = 1

Step 1: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

Step 2: Find the prime factorization of 9658

9658 = 2 x 11 x 439

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 9658 is 1