What is the Greatest Common Factor of 96075 and 96093?

Greatest common factor (GCF) of 96075 and 96093 is 9.

GCF(96075,96093) = 9

We will now calculate the prime factors of 96075 and 96093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96075 and 96093.

How to find the GCF of 96075 and 96093?

We will first find the prime factorization of 96075 and 96093. After we will calculate the factors of 96075 and 96093 and find the biggest common factor number .

Step-1: Prime Factorization of 96075

Prime factors of 96075 are 3, 5, 7, 61. Prime factorization of 96075 in exponential form is:

96075 = 3² × 5² × 7¹ × 61¹

Step-2: Prime Factorization of 96093

Prime factors of 96093 are 3, 3559. Prime factorization of 96093 in exponential form is:

96093 = 3³ × 3559¹

Step-3: Factors of 96075

List of positive integer factors of 96075 that divides 96075 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 61, 63, 75, 105, 175, 183, 225, 305, 315, 427, 525, 549, 915, 1281, 1525, 1575, 2135, 2745, 3843, 4575, 6405, 10675, 13725, 19215, 32025

Step-4: Factors of 96093

List of positive integer factors of 96093 that divides 96075 without a remainder.

1, 3, 9, 27, 3559, 10677, 32031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96075 and 96093. The biggest common factor number is the GCF number.
So the greatest common factor 96075 and 96093 is 9.

Also check out the Least Common Multiple of 96075 and 96093