What is the Greatest Common Factor of 96075 and 96084?

Greatest common factor (GCF) of 96075 and 96084 is 9.

GCF(96075,96084) = 9

We will now calculate the prime factors of 96075 and 96084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96075 and 96084.

How to find the GCF of 96075 and 96084?

We will first find the prime factorization of 96075 and 96084. After we will calculate the factors of 96075 and 96084 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 96084

Prime factors of 96084 are 2, 3, 17, 157. Prime factorization of 96084 in exponential form is:

96084 = 2² × 3² × 17¹ × 157¹

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 96084

List of positive integer factors of 96084 that divides 96075 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 157, 204, 306, 314, 471, 612, 628, 942, 1413, 1884, 2669, 2826, 5338, 5652, 8007, 10676, 16014, 24021, 32028, 48042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96075 and 96084. The biggest common factor number is the GCF number.
So the greatest common factor 96075 and 96084 is 9.

Also check out the Least Common Multiple of 96075 and 96084