What is the Greatest Common Factor of 9675 and 9689?

Greatest common factor (GCF) of 9675 and 9689 is 1.

GCF(9675,9689) = 1

We will now calculate the prime factors of 9675 and 9689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9675 and 9689.

How to find the GCF of 9675 and 9689?

We will first find the prime factorization of 9675 and 9689. After we will calculate the factors of 9675 and 9689 and find the biggest common factor number .

Step-1: Prime Factorization of 9675

Prime factors of 9675 are 3, 5, 43. Prime factorization of 9675 in exponential form is:

9675 = 3² × 5² × 43¹

Step-2: Prime Factorization of 9689

Prime factors of 9689 are 9689. Prime factorization of 9689 in exponential form is:

9689 = 9689¹

Step-3: Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225

Step-4: Factors of 9689

List of positive integer factors of 9689 that divides 9675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9675 and 9689. The biggest common factor number is the GCF number.
So the greatest common factor 9675 and 9689 is 1.

Also check out the Least Common Multiple of 9675 and 9689