What is the Greatest Common Factor of 96075 and 96089?

Greatest common factor (GCF) of 96075 and 96089 is 7.

GCF(96075,96089) = 7

We will now calculate the prime factors of 96075 and 96089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96075 and 96089.

How to find the GCF of 96075 and 96089?

We will first find the prime factorization of 96075 and 96089. After we will calculate the factors of 96075 and 96089 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 96089

Prime factors of 96089 are 7, 37, 53. Prime factorization of 96089 in exponential form is:

96089 = 7² × 37¹ × 53¹

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 96089

List of positive integer factors of 96089 that divides 96075 without a remainder.

1, 7, 37, 49, 53, 259, 371, 1813, 1961, 2597, 13727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96075 and 96089. The biggest common factor number is the GCF number.
So the greatest common factor 96075 and 96089 is 7.

Also check out the Least Common Multiple of 96075 and 96089