Greatest Common Factor of 9760 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 9760, 9765 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9760 and 9765 is 5.

GCF(9760,9765) = 5

GCF of 9760 and 9765

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

GCF of:
and

Greatest Common Factor of 9760 and 9765

GCF of 9760 and 9765 is 5

Prime Factorization of 9760


2 9760
2 4880
2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 9760 are 2,5,61. Prime factorization of 9760 in exponential form is:

9760 = 25×51×611

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 9760 and 9765 is 5

Greatest Common Factor of 9760 and 9765 by matching factors method

Factors of 9760

List of positive integer factors of 9760 that divides 9760 without a remainder.

1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760

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 9760 and 9765. The biggest common factor number is the GCF number.
So the greatest common factor 9760 and 9765 is 5.

Also check out the Least Common Multiple of 9760 and 9765

Properties of GCF 9760 and 9765

(i) The GCF of 9760 and 9765 is associative

GCF of 9760 and 9765 = GCF of 9765 and 9760

Related Greatest Common Factor of 9760

Related Greatest Common Factor of 9765

Frequently Asked Questions on GCF of 9760 and 9765

1. What is the GCF of 9760 and 9765?

Answer: GCF of 9760 and 9765 is 5.

2. What are the Factors of 9760?

Answer: Factors of 9760 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760. There are 24 integers that are factors of 9760. The greatest factor of 9760 is 9760.

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 9760 and 9765?

Answer:

Greatest Common Factor of 9760 and 9765 = 5

Step 1: Find the prime factorization of 9760

9760 = 2 x 2 x 2 x 2 x 2 x 5 x 61

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 = 5

Step 4: Therefore, the greatest common factor of 9760 and 9765 is 5