What is the Greatest Common Factor of 17088 and 17094?

Greatest common factor (GCF) of 17088 and 17094 is 6.

GCF(17088,17094) = 6

We will now calculate the prime factors of 17088 and 17094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17088 and 17094.

How to find the GCF of 17088 and 17094?

We will first find the prime factorization of 17088 and 17094. After we will calculate the factors of 17088 and 17094 and find the biggest common factor number .

Step-1: Prime Factorization of 17088

Prime factors of 17088 are 2, 3, 89. Prime factorization of 17088 in exponential form is:

17088 = 2⁶ × 3¹ × 89¹

Step-2: Prime Factorization of 17094

Prime factors of 17094 are 2, 3, 7, 11, 37. Prime factorization of 17094 in exponential form is:

17094 = 2¹ × 3¹ × 7¹ × 11¹ × 37¹

Step-3: Factors of 17088

List of positive integer factors of 17088 that divides 17088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 89, 96, 178, 192, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 5696, 8544

Step-4: Factors of 17094

List of positive integer factors of 17094 that divides 17088 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 37, 42, 66, 74, 77, 111, 154, 222, 231, 259, 407, 462, 518, 777, 814, 1221, 1554, 2442, 2849, 5698, 8547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17088 and 17094. The biggest common factor number is the GCF number.
So the greatest common factor 17088 and 17094 is 6.

Also check out the Least Common Multiple of 17088 and 17094