What is the Greatest Common Factor of 5059 and 5071?

Greatest common factor (GCF) of 5059 and 5071 is 1.

GCF(5059,5071) = 1

We will now calculate the prime factors of 5059 and 5071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5059 and 5071.

How to find the GCF of 5059 and 5071?

We will first find the prime factorization of 5059 and 5071. After we will calculate the factors of 5059 and 5071 and find the biggest common factor number .

Step-1: Prime Factorization of 5059

Prime factors of 5059 are 5059. Prime factorization of 5059 in exponential form is:

5059 = 5059¹

Step-2: Prime Factorization of 5071

Prime factors of 5071 are 11, 461. Prime factorization of 5071 in exponential form is:

5071 = 11¹ × 461¹

Step-3: Factors of 5059

List of positive integer factors of 5059 that divides 5059 without a remainder.

Step-4: Factors of 5071

List of positive integer factors of 5071 that divides 5059 without a remainder.

1, 11, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5059 and 5071. The biggest common factor number is the GCF number.
So the greatest common factor 5059 and 5071 is 1.

Also check out the Least Common Multiple of 5059 and 5071