What is the Greatest Common Factor of 66096 and 66102?

Greatest common factor (GCF) of 66096 and 66102 is 6.

GCF(66096,66102) = 6

We will now calculate the prime factors of 66096 and 66102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66096 and 66102.

How to find the GCF of 66096 and 66102?

We will first find the prime factorization of 66096 and 66102. After we will calculate the factors of 66096 and 66102 and find the biggest common factor number .

Step-1: Prime Factorization of 66096

Prime factors of 66096 are 2, 3, 17. Prime factorization of 66096 in exponential form is:

66096 = 2⁴ × 3⁵ × 17¹

Step-2: Prime Factorization of 66102

Prime factors of 66102 are 2, 3, 23, 479. Prime factorization of 66102 in exponential form is:

66102 = 2¹ × 3¹ × 23¹ × 479¹

Step-3: Factors of 66096

List of positive integer factors of 66096 that divides 66096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 81, 102, 108, 136, 144, 153, 162, 204, 216, 243, 272, 306, 324, 408, 432, 459, 486, 612, 648, 816, 918, 972, 1224, 1296, 1377, 1836, 1944, 2448, 2754, 3672, 3888, 4131, 5508, 7344, 8262, 11016, 16524, 22032, 33048

Step-4: Factors of 66102

List of positive integer factors of 66102 that divides 66096 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 479, 958, 1437, 2874, 11017, 22034, 33051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66096 and 66102. The biggest common factor number is the GCF number.
So the greatest common factor 66096 and 66102 is 6.

Also check out the Least Common Multiple of 66096 and 66102