What is the Greatest Common Factor of 5134 and 5151?

Greatest common factor (GCF) of 5134 and 5151 is 17.

GCF(5134,5151) = 17

We will now calculate the prime factors of 5134 and 5151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5134 and 5151.

How to find the GCF of 5134 and 5151?

We will first find the prime factorization of 5134 and 5151. After we will calculate the factors of 5134 and 5151 and find the biggest common factor number .

Step-1: Prime Factorization of 5134

Prime factors of 5134 are 2, 17, 151. Prime factorization of 5134 in exponential form is:

5134 = 2¹ × 17¹ × 151¹

Step-2: Prime Factorization of 5151

Prime factors of 5151 are 3, 17, 101. Prime factorization of 5151 in exponential form is:

5151 = 3¹ × 17¹ × 101¹

Step-3: Factors of 5134

List of positive integer factors of 5134 that divides 5134 without a remainder.

1, 2, 17, 34, 151, 302, 2567

Step-4: Factors of 5151

List of positive integer factors of 5151 that divides 5134 without a remainder.

1, 3, 17, 51, 101, 303, 1717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5134 and 5151. The biggest common factor number is the GCF number.
So the greatest common factor 5134 and 5151 is 17.

Also check out the Least Common Multiple of 5134 and 5151