What is the Greatest Common Factor of 5054 and 5059?

Greatest common factor (GCF) of 5054 and 5059 is 1.

GCF(5054,5059) = 1

We will now calculate the prime factors of 5054 and 5059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5054 and 5059.

How to find the GCF of 5054 and 5059?

We will first find the prime factorization of 5054 and 5059. After we will calculate the factors of 5054 and 5059 and find the biggest common factor number .

Step-1: Prime Factorization of 5054

Prime factors of 5054 are 2, 7, 19. Prime factorization of 5054 in exponential form is:

5054 = 2¹ × 7¹ × 19²

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 5054

List of positive integer factors of 5054 that divides 5054 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527

Step-4: Factors of 5059

List of positive integer factors of 5059 that divides 5054 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5054 and 5059. The biggest common factor number is the GCF number.
So the greatest common factor 5054 and 5059 is 1.

Also check out the Least Common Multiple of 5054 and 5059