Greatest Common Factor of 9760 and 9766

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, 9766 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9760 and 9766 is 2.

GCF(9760,9766) = 2

GCF of 9760 and 9766

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

GCF of:
and

Greatest Common Factor of 9760 and 9766

GCF of 9760 and 9766 is 2

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 9766


2 9766
19 4883
257 257
1

Prime factors of 9766 are 2,19,257. Prime factorization of 9766 in exponential form is:

9766 = 21×191×2571

∴ So by taking common prime factors GCF of 9760 and 9766 is 2

Greatest Common Factor of 9760 and 9766 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 9766

List of positive integer factors of 9766 that divides 9766 without a remainder.

1,2,19,38,257,514,4883,9766

Greatest Common Factor

We found the factors and prime factorization of 9760 and 9766. The biggest common factor number is the GCF number.
So the greatest common factor 9760 and 9766 is 2.

Also check out the Least Common Multiple of 9760 and 9766

Properties of GCF 9760 and 9766

(i) The GCF of 9760 and 9766 is associative

GCF of 9760 and 9766 = GCF of 9766 and 9760

Related Greatest Common Factor of 9760

Related Greatest Common Factor of 9766

Frequently Asked Questions on GCF of 9760 and 9766

1. What is the GCF of 9760 and 9766?

Answer: GCF of 9760 and 9766 is 2.

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 9766?

Answer: Factors of 9766 are 1, 2, 19, 38, 257, 514, 4883, 9766. There are 8 integers that are factors of 9766. The greatest factor of 9766 is 9766.

4. How to Find the GCF of 9760 and 9766?

Answer:

Greatest Common Factor of 9760 and 9766 = 2

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 9766

9766 = 2 x 19 x 257

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 9760 and 9766 is 2