What is the Greatest Common Factor of 9655 and 9675?

Greatest common factor (GCF) of 9655 and 9675 is 5.

GCF(9655,9675) = 5

We will now calculate the prime factors of 9655 and 9675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9655 and 9675.

How to find the GCF of 9655 and 9675?

We will first find the prime factorization of 9655 and 9675. After we will calculate the factors of 9655 and 9675 and find the biggest common factor number .

Step-1: Prime Factorization of 9655

Prime factors of 9655 are 5, 1931. Prime factorization of 9655 in exponential form is:

9655 = 5¹ × 1931¹

Step-2: 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-3: Factors of 9655

List of positive integer factors of 9655 that divides 9655 without a remainder.

1, 5, 1931

Step-4: Factors of 9675

List of positive integer factors of 9675 that divides 9655 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9655 and 9675. The biggest common factor number is the GCF number.
So the greatest common factor 9655 and 9675 is 5.

Also check out the Least Common Multiple of 9655 and 9675