What is the Greatest Common Factor of 66079 and 66096?

Greatest common factor (GCF) of 66079 and 66096 is 17.

GCF(66079,66096) = 17

We will now calculate the prime factors of 66079 and 66096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66079 and 66096.

How to find the GCF of 66079 and 66096?

We will first find the prime factorization of 66079 and 66096. After we will calculate the factors of 66079 and 66096 and find the biggest common factor number .

Step-1: Prime Factorization of 66079

Prime factors of 66079 are 13, 17, 23. Prime factorization of 66079 in exponential form is:

66079 = 13² × 17¹ × 23¹

Step-2: 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-3: Factors of 66079

List of positive integer factors of 66079 that divides 66079 without a remainder.

1, 13, 17, 23, 169, 221, 299, 391, 2873, 3887, 5083

Step-4: Factors of 66096

List of positive integer factors of 66096 that divides 66079 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66079 and 66096. The biggest common factor number is the GCF number.
So the greatest common factor 66079 and 66096 is 17.

Also check out the Least Common Multiple of 66079 and 66096