What is the Greatest Common Factor of 96108 and 96115?

Greatest common factor (GCF) of 96108 and 96115 is 1.

GCF(96108,96115) = 1

We will now calculate the prime factors of 96108 and 96115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96108 and 96115.

How to find the GCF of 96108 and 96115?

We will first find the prime factorization of 96108 and 96115. After we will calculate the factors of 96108 and 96115 and find the biggest common factor number .

Step-1: Prime Factorization of 96108

Prime factors of 96108 are 2, 3, 8009. Prime factorization of 96108 in exponential form is:

96108 = 2² × 3¹ × 8009¹

Step-2: Prime Factorization of 96115

Prime factors of 96115 are 5, 47, 409. Prime factorization of 96115 in exponential form is:

96115 = 5¹ × 47¹ × 409¹

Step-3: Factors of 96108

List of positive integer factors of 96108 that divides 96108 without a remainder.

1, 2, 3, 4, 6, 12, 8009, 16018, 24027, 32036, 48054

Step-4: Factors of 96115

List of positive integer factors of 96115 that divides 96108 without a remainder.

1, 5, 47, 235, 409, 2045, 19223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96108 and 96115. The biggest common factor number is the GCF number.
So the greatest common factor 96108 and 96115 is 1.

Also check out the Least Common Multiple of 96108 and 96115