What is the Greatest Common Factor of 96084 and 96096?

Greatest common factor (GCF) of 96084 and 96096 is 12.

GCF(96084,96096) = 12

We will now calculate the prime factors of 96084 and 96096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96084 and 96096.

How to find the GCF of 96084 and 96096?

We will first find the prime factorization of 96084 and 96096. After we will calculate the factors of 96084 and 96096 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96096

Prime factors of 96096 are 2, 3, 7, 11, 13. Prime factorization of 96096 in exponential form is:

96096 = 2⁵ × 3¹ × 7¹ × 11¹ × 13¹

Step-3: Factors of 96084

List of positive integer factors of 96084 that divides 96084 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

Step-4: Factors of 96096

List of positive integer factors of 96096 that divides 96084 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16, 21, 22, 24, 26, 28, 32, 33, 39, 42, 44, 48, 52, 56, 66, 77, 78, 84, 88, 91, 96, 104, 112, 132, 143, 154, 156, 168, 176, 182, 208, 224, 231, 264, 273, 286, 308, 312, 336, 352, 364, 416, 429, 462, 528, 546, 572, 616, 624, 672, 728, 858, 924, 1001, 1056, 1092, 1144, 1232, 1248, 1456, 1716, 1848, 2002, 2184, 2288, 2464, 2912, 3003, 3432, 3696, 4004, 4368, 4576, 6006, 6864, 7392, 8008, 8736, 12012, 13728, 16016, 24024, 32032, 48048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96084 and 96096. The biggest common factor number is the GCF number.
So the greatest common factor 96084 and 96096 is 12.

Also check out the Least Common Multiple of 96084 and 96096