What is the Greatest Common Factor of 5047 and 5059?

Greatest common factor (GCF) of 5047 and 5059 is 1.

GCF(5047,5059) = 1

We will now calculate the prime factors of 5047 and 5059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5047 and 5059.

How to find the GCF of 5047 and 5059?

We will first find the prime factorization of 5047 and 5059. After we will calculate the factors of 5047 and 5059 and find the biggest common factor number .

Step-1: Prime Factorization of 5047

Prime factors of 5047 are 7, 103. Prime factorization of 5047 in exponential form is:

5047 = 7² × 103¹

Step-2: Prime Factorization of 5059

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

5059 = 5059¹

Step-3: Factors of 5047

List of positive integer factors of 5047 that divides 5047 without a remainder.

1, 7, 49, 103, 721

Step-4: Factors of 5059

List of positive integer factors of 5059 that divides 5047 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5047 and 5059. The biggest common factor number is the GCF number.
So the greatest common factor 5047 and 5059 is 1.

Also check out the Least Common Multiple of 5047 and 5059