What is the Greatest Common Factor of 66096 and 66100?

Greatest common factor (GCF) of 66096 and 66100 is 4.

GCF(66096,66100) = 4

We will now calculate the prime factors of 66096 and 66100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66096 and 66100.

How to find the GCF of 66096 and 66100?

We will first find the prime factorization of 66096 and 66100. After we will calculate the factors of 66096 and 66100 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 66100

Prime factors of 66100 are 2, 5, 661. Prime factorization of 66100 in exponential form is:

66100 = 2² × 5² × 661¹

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 66100

List of positive integer factors of 66100 that divides 66096 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 661, 1322, 2644, 3305, 6610, 13220, 16525, 33050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66096 and 66100. The biggest common factor number is the GCF number.
So the greatest common factor 66096 and 66100 is 4.

Also check out the Least Common Multiple of 66096 and 66100