Greatest Common Factor of 9758 and 9764

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 9758, 9764 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9758 and 9764 is 2.

GCF(9758,9764) = 2

GCF of 9758 and 9764

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

GCF of:
and

Greatest Common Factor of 9758 and 9764

GCF of 9758 and 9764 is 2

Prime Factorization of 9758


2 9758
7 4879
17 697
41 41
1

Prime factors of 9758 are 2,7,17,41. Prime factorization of 9758 in exponential form is:

9758 = 21×71×171×411

Prime Factorization of 9764


2 9764
2 4882
2441 2441
1

Prime factors of 9764 are 2,2441. Prime factorization of 9764 in exponential form is:

9764 = 22×24411

∴ So by taking common prime factors GCF of 9758 and 9764 is 2

Greatest Common Factor of 9758 and 9764 by matching factors method

Factors of 9758

List of positive integer factors of 9758 that divides 9758 without a remainder.

1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758

Factors of 9764

List of positive integer factors of 9764 that divides 9764 without a remainder.

1,2,4,2441,4882,9764

Greatest Common Factor

We found the factors and prime factorization of 9758 and 9764. The biggest common factor number is the GCF number.
So the greatest common factor 9758 and 9764 is 2.

Also check out the Least Common Multiple of 9758 and 9764

Properties of GCF 9758 and 9764

(i) The GCF of 9758 and 9764 is associative

GCF of 9758 and 9764 = GCF of 9764 and 9758

Related Greatest Common Factor of 9758

Related Greatest Common Factor of 9764

Frequently Asked Questions on GCF of 9758 and 9764

1. What is the GCF of 9758 and 9764?

Answer: GCF of 9758 and 9764 is 2.

2. What are the Factors of 9758?

Answer: Factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758. There are 16 integers that are factors of 9758. The greatest factor of 9758 is 9758.

3. What are the Factors of 9764?

Answer: Factors of 9764 are 1, 2, 4, 2441, 4882, 9764. There are 6 integers that are factors of 9764. The greatest factor of 9764 is 9764.

4. How to Find the GCF of 9758 and 9764?

Answer:

Greatest Common Factor of 9758 and 9764 = 2

Step 1: Find the prime factorization of 9758

9758 = 2 x 7 x 17 x 41

Step 2: Find the prime factorization of 9764

9764 = 2 x 2 x 2441

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9758 and 9764 is 2