What is the Greatest Common Factor of 9675 and 9682?

Greatest common factor (GCF) of 9675 and 9682 is 1.

GCF(9675,9682) = 1

We will now calculate the prime factors of 9675 and 9682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9675 and 9682.

How to find the GCF of 9675 and 9682?

We will first find the prime factorization of 9675 and 9682. After we will calculate the factors of 9675 and 9682 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 9682

Prime factors of 9682 are 2, 47, 103. Prime factorization of 9682 in exponential form is:

9682 = 2¹ × 47¹ × 103¹

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 9682

List of positive integer factors of 9682 that divides 9675 without a remainder.

1, 2, 47, 94, 103, 206, 4841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9675 and 9682. The biggest common factor number is the GCF number.
So the greatest common factor 9675 and 9682 is 1.

Also check out the Least Common Multiple of 9675 and 9682