What is the Greatest Common Factor of 5126 and 5134?

Greatest common factor (GCF) of 5126 and 5134 is 2.

GCF(5126,5134) = 2

We will now calculate the prime factors of 5126 and 5134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5126 and 5134.

How to find the GCF of 5126 and 5134?

We will first find the prime factorization of 5126 and 5134. After we will calculate the factors of 5126 and 5134 and find the biggest common factor number .

Step-1: Prime Factorization of 5126

Prime factors of 5126 are 2, 11, 233. Prime factorization of 5126 in exponential form is:

5126 = 2¹ × 11¹ × 233¹

Step-2: 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-3: Factors of 5126

List of positive integer factors of 5126 that divides 5126 without a remainder.

1, 2, 11, 22, 233, 466, 2563

Step-4: Factors of 5134

List of positive integer factors of 5134 that divides 5126 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5126 and 5134. The biggest common factor number is the GCF number.
So the greatest common factor 5126 and 5134 is 2.

Also check out the Least Common Multiple of 5126 and 5134