Greatest Common Factor of 9685 and 9691

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 9685, 9691 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9685 and 9691 is 1.

GCF(9685,9691) = 1

GCF of 9685 and 9691

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

GCF of:
and

Greatest Common Factor of 9685 and 9691

GCF of 9685 and 9691 is 1

Prime Factorization of 9685


5 9685
13 1937
149 149
1

Prime factors of 9685 are 5,13,149. Prime factorization of 9685 in exponential form is:

9685 = 51×131×1491

Prime Factorization of 9691


11 9691
881 881
1

Prime factors of 9691 are 11,881. Prime factorization of 9691 in exponential form is:

9691 = 111×8811

∴ So by taking common prime factors GCF of 9685 and 9691 is 1

Greatest Common Factor of 9685 and 9691 by matching factors method

Factors of 9685

List of positive integer factors of 9685 that divides 9685 without a remainder.

1,5,13,65,149,745,1937,9685

Factors of 9691

List of positive integer factors of 9691 that divides 9691 without a remainder.

1,11,881,9691

Greatest Common Factor

We found the factors and prime factorization of 9685 and 9691. The biggest common factor number is the GCF number.
So the greatest common factor 9685 and 9691 is 1.

Also check out the Least Common Multiple of 9685 and 9691

Properties of GCF 9685 and 9691

(i) The GCF of 9685 and 9691 is associative

GCF of 9685 and 9691 = GCF of 9691 and 9685

Related Greatest Common Factor of 9685

Related Greatest Common Factor of 9691

Frequently Asked Questions on GCF of 9685 and 9691

1. What is the GCF of 9685 and 9691?

Answer: GCF of 9685 and 9691 is 1.

2. What are the Factors of 9685?

Answer: Factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685. There are 8 integers that are factors of 9685. The greatest factor of 9685 is 9685.

3. What are the Factors of 9691?

Answer: Factors of 9691 are 1, 11, 881, 9691. There are 4 integers that are factors of 9691. The greatest factor of 9691 is 9691.

4. How to Find the GCF of 9685 and 9691?

Answer:

Greatest Common Factor of 9685 and 9691 = 1

Step 1: Find the prime factorization of 9685

9685 = 5 x 13 x 149

Step 2: Find the prime factorization of 9691

9691 = 11 x 881

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 9685 and 9691 is 1