What is the Greatest Common Factor of 17051 and 17063?

Greatest common factor (GCF) of 17051 and 17063 is 1.

GCF(17051,17063) = 1

We will now calculate the prime factors of 17051 and 17063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17051 and 17063.

How to find the GCF of 17051 and 17063?

We will first find the prime factorization of 17051 and 17063. After we will calculate the factors of 17051 and 17063 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 17063

Prime factors of 17063 are 113, 151. Prime factorization of 17063 in exponential form is:

17063 = 113¹ × 151¹

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 17063

List of positive integer factors of 17063 that divides 17051 without a remainder.

1, 113, 151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17051 and 17063. The biggest common factor number is the GCF number.
So the greatest common factor 17051 and 17063 is 1.

Also check out the Least Common Multiple of 17051 and 17063