Greatest Common Factor of 9653 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 9653, 9658 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9653 and 9658 is 1.

GCF(9653,9658) = 1

GCF of 9653 and 9658

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

GCF of:
and

Greatest Common Factor of 9653 and 9658

GCF of 9653 and 9658 is 1

Prime Factorization of 9653


7 9653
7 1379
197 197
1

Prime factors of 9653 are 7,197. Prime factorization of 9653 in exponential form is:

9653 = 72×1971

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 9653 and 9658 is 1

Greatest Common Factor of 9653 and 9658 by matching factors method

Factors of 9653

List of positive integer factors of 9653 that divides 9653 without a remainder.

1,7,49,197,1379,9653

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 9653 and 9658. The biggest common factor number is the GCF number.
So the greatest common factor 9653 and 9658 is 1.

Also check out the Least Common Multiple of 9653 and 9658

Properties of GCF 9653 and 9658

(i) The GCF of 9653 and 9658 is associative

GCF of 9653 and 9658 = GCF of 9658 and 9653

Related Greatest Common Factor of 9653

Related Greatest Common Factor of 9658

Frequently Asked Questions on GCF of 9653 and 9658

1. What is the GCF of 9653 and 9658?

Answer: GCF of 9653 and 9658 is 1.

2. What are the Factors of 9653?

Answer: Factors of 9653 are 1, 7, 49, 197, 1379, 9653. There are 6 integers that are factors of 9653. The greatest factor of 9653 is 9653.

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 9653 and 9658?

Answer:

Greatest Common Factor of 9653 and 9658 = 1

Step 1: Find the prime factorization of 9653

9653 = 7 x 7 x 197

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 9653 and 9658 is 1