Greatest Common Factor of 9646 and 9653

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 9646, 9653 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9646 and 9653 is 7.

GCF(9646,9653) = 7

GCF of 9646 and 9653

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

GCF of:
and

Greatest Common Factor of 9646 and 9653

GCF of 9646 and 9653 is 7

Prime Factorization of 9646


2 9646
7 4823
13 689
53 53
1

Prime factors of 9646 are 2,7,13,53. Prime factorization of 9646 in exponential form is:

9646 = 21×71×131×531

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

∴ So by taking common prime factors GCF of 9646 and 9653 is 7

Greatest Common Factor of 9646 and 9653 by matching factors method

Factors of 9646

List of positive integer factors of 9646 that divides 9646 without a remainder.

1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646

Factors of 9653

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

1,7,49,197,1379,9653

Greatest Common Factor

We found the factors and prime factorization of 9646 and 9653. The biggest common factor number is the GCF number.
So the greatest common factor 9646 and 9653 is 7.

Also check out the Least Common Multiple of 9646 and 9653

Properties of GCF 9646 and 9653

(i) The GCF of 9646 and 9653 is associative

GCF of 9646 and 9653 = GCF of 9653 and 9646

Related Greatest Common Factor of 9646

Related Greatest Common Factor of 9653

Frequently Asked Questions on GCF of 9646 and 9653

1. What is the GCF of 9646 and 9653?

Answer: GCF of 9646 and 9653 is 7.

2. What are the Factors of 9646?

Answer: Factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646. There are 16 integers that are factors of 9646. The greatest factor of 9646 is 9646.

3. 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.

4. How to Find the GCF of 9646 and 9653?

Answer:

Greatest Common Factor of 9646 and 9653 = 7

Step 1: Find the prime factorization of 9646

9646 = 2 x 7 x 13 x 53

Step 2: Find the prime factorization of 9653

9653 = 7 x 7 x 197

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 9646 and 9653 is 7