What is the Greatest Common Factor of 17083 and 17094?

Greatest common factor (GCF) of 17083 and 17094 is 11.

GCF(17083,17094) = 11

We will now calculate the prime factors of 17083 and 17094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17083 and 17094.

How to find the GCF of 17083 and 17094?

We will first find the prime factorization of 17083 and 17094. After we will calculate the factors of 17083 and 17094 and find the biggest common factor number .

Step-1: Prime Factorization of 17083

Prime factors of 17083 are 11, 1553. Prime factorization of 17083 in exponential form is:

17083 = 11¹ × 1553¹

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 17083

List of positive integer factors of 17083 that divides 17083 without a remainder.

1, 11, 1553

Step-4: Factors of 17094

List of positive integer factors of 17094 that divides 17083 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 17083 and 17094. The biggest common factor number is the GCF number.
So the greatest common factor 17083 and 17094 is 11.

Also check out the Least Common Multiple of 17083 and 17094