What is the Greatest Common Factor of 96895 and 96909?

Greatest common factor (GCF) of 96895 and 96909 is 1.

GCF(96895,96909) = 1

We will now calculate the prime factors of 96895 and 96909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96895 and 96909.

How to find the GCF of 96895 and 96909?

We will first find the prime factorization of 96895 and 96909. After we will calculate the factors of 96895 and 96909 and find the biggest common factor number .

Step-1: Prime Factorization of 96895

Prime factors of 96895 are 5, 19379. Prime factorization of 96895 in exponential form is:

96895 = 5¹ × 19379¹

Step-2: Prime Factorization of 96909

Prime factors of 96909 are 3, 32303. Prime factorization of 96909 in exponential form is:

96909 = 3¹ × 32303¹

Step-3: Factors of 96895

List of positive integer factors of 96895 that divides 96895 without a remainder.

1, 5, 19379

Step-4: Factors of 96909

List of positive integer factors of 96909 that divides 96895 without a remainder.

1, 3, 32303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96895 and 96909. The biggest common factor number is the GCF number.
So the greatest common factor 96895 and 96909 is 1.

Also check out the Least Common Multiple of 96895 and 96909