What is the Greatest Common Factor of 96096 and 96112?

Greatest common factor (GCF) of 96096 and 96112 is 16.

GCF(96096,96112) = 16

We will now calculate the prime factors of 96096 and 96112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96096 and 96112.

How to find the GCF of 96096 and 96112?

We will first find the prime factorization of 96096 and 96112. After we will calculate the factors of 96096 and 96112 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96112

Prime factors of 96112 are 2, 6007. Prime factorization of 96112 in exponential form is:

96112 = 2⁴ × 6007¹

Step-3: Factors of 96096

List of positive integer factors of 96096 that divides 96096 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

Step-4: Factors of 96112

List of positive integer factors of 96112 that divides 96096 without a remainder.

1, 2, 4, 8, 16, 6007, 12014, 24028, 48056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96096 and 96112. The biggest common factor number is the GCF number.
So the greatest common factor 96096 and 96112 is 16.

Also check out the Least Common Multiple of 96096 and 96112