Greatest Common Factor of 9758 and 9765

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, 9765 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9758 and 9765 is 7.

GCF(9758,9765) = 7

GCF of 9758 and 9765

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

GCF of:
and

Greatest Common Factor of 9758 and 9765

GCF of 9758 and 9765 is 7

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 9765


3 9765
3 3255
5 1085
7 217
31 31
1

Prime factors of 9765 are 3,5,7,31. Prime factorization of 9765 in exponential form is:

9765 = 32×51×71×311

∴ So by taking common prime factors GCF of 9758 and 9765 is 7

Greatest Common Factor of 9758 and 9765 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 9765

List of positive integer factors of 9765 that divides 9765 without a remainder.

1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765

Greatest Common Factor

We found the factors and prime factorization of 9758 and 9765. The biggest common factor number is the GCF number.
So the greatest common factor 9758 and 9765 is 7.

Also check out the Least Common Multiple of 9758 and 9765

Properties of GCF 9758 and 9765

(i) The GCF of 9758 and 9765 is associative

GCF of 9758 and 9765 = GCF of 9765 and 9758

Related Greatest Common Factor of 9758

Related Greatest Common Factor of 9765

Frequently Asked Questions on GCF of 9758 and 9765

1. What is the GCF of 9758 and 9765?

Answer: GCF of 9758 and 9765 is 7.

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 9765?

Answer: Factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765. There are 24 integers that are factors of 9765. The greatest factor of 9765 is 9765.

4. How to Find the GCF of 9758 and 9765?

Answer:

Greatest Common Factor of 9758 and 9765 = 7

Step 1: Find the prime factorization of 9758

9758 = 2 x 7 x 17 x 41

Step 2: Find the prime factorization of 9765

9765 = 3 x 3 x 5 x 7 x 31

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 9758 and 9765 is 7