Greatest Common Factor of 9765 and 9769

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 9765, 9769 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9765 and 9769 is 1.

GCF(9765,9769) = 1

GCF of 9765 and 9769

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

GCF of:
and

Greatest Common Factor of 9765 and 9769

GCF of 9765 and 9769 is 1

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

Prime Factorization of 9769


9769 9769
1

Prime factors of 9769 are 9769. Prime factorization of 9769 in exponential form is:

9769 = 97691

∴ So by taking common prime factors GCF of 9765 and 9769 is 1

Greatest Common Factor of 9765 and 9769 by matching factors method

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

Factors of 9769

List of positive integer factors of 9769 that divides 9769 without a remainder.

1,9769

Greatest Common Factor

We found the factors and prime factorization of 9765 and 9769. The biggest common factor number is the GCF number.
So the greatest common factor 9765 and 9769 is 1.

Also check out the Least Common Multiple of 9765 and 9769

Properties of GCF 9765 and 9769

(i) The GCF of 9765 and 9769 is associative

GCF of 9765 and 9769 = GCF of 9769 and 9765

Related Greatest Common Factor of 9765

Related Greatest Common Factor of 9769

Frequently Asked Questions on GCF of 9765 and 9769

1. What is the GCF of 9765 and 9769?

Answer: GCF of 9765 and 9769 is 1.

2. 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.

3. What are the Factors of 9769?

Answer: Factors of 9769 are 1, 9769. There are 2 integers that are factors of 9769. The greatest factor of 9769 is 9769.

4. How to Find the GCF of 9765 and 9769?

Answer:

Greatest Common Factor of 9765 and 9769 = 1

Step 1: Find the prime factorization of 9765

9765 = 3 x 3 x 5 x 7 x 31

Step 2: Find the prime factorization of 9769

9769 = 9769

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9765 and 9769 is 1