What is the Greatest Common Factor of 17051 and 17068?

Greatest common factor (GCF) of 17051 and 17068 is 17.

GCF(17051,17068) = 17

We will now calculate the prime factors of 17051 and 17068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17051 and 17068.

How to find the GCF of 17051 and 17068?

We will first find the prime factorization of 17051 and 17068. After we will calculate the factors of 17051 and 17068 and find the biggest common factor number .

Step-1: Prime Factorization of 17051

Prime factors of 17051 are 17, 59. Prime factorization of 17051 in exponential form is:

17051 = 17² × 59¹

Step-2: Prime Factorization of 17068

Prime factors of 17068 are 2, 17, 251. Prime factorization of 17068 in exponential form is:

17068 = 2² × 17¹ × 251¹

Step-3: Factors of 17051

List of positive integer factors of 17051 that divides 17051 without a remainder.

1, 17, 59, 289, 1003

Step-4: Factors of 17068

List of positive integer factors of 17068 that divides 17051 without a remainder.

1, 2, 4, 17, 34, 68, 251, 502, 1004, 4267, 8534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17051 and 17068. The biggest common factor number is the GCF number.
So the greatest common factor 17051 and 17068 is 17.

Also check out the Least Common Multiple of 17051 and 17068