What is the Greatest Common Factor of 59116 and 59126?

Greatest common factor (GCF) of 59116 and 59126 is 2.

GCF(59116,59126) = 2

We will now calculate the prime factors of 59116 and 59126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59116 and 59126.

How to find the GCF of 59116 and 59126?

We will first find the prime factorization of 59116 and 59126. After we will calculate the factors of 59116 and 59126 and find the biggest common factor number .

Step-1: Prime Factorization of 59116

Prime factors of 59116 are 2, 14779. Prime factorization of 59116 in exponential form is:

59116 = 2² × 14779¹

Step-2: Prime Factorization of 59126

Prime factors of 59126 are 2, 17, 37, 47. Prime factorization of 59126 in exponential form is:

59126 = 2¹ × 17¹ × 37¹ × 47¹

Step-3: Factors of 59116

List of positive integer factors of 59116 that divides 59116 without a remainder.

1, 2, 4, 14779, 29558

Step-4: Factors of 59126

List of positive integer factors of 59126 that divides 59116 without a remainder.

1, 2, 17, 34, 37, 47, 74, 94, 629, 799, 1258, 1598, 1739, 3478, 29563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59116 and 59126. The biggest common factor number is the GCF number.
So the greatest common factor 59116 and 59126 is 2.

Also check out the Least Common Multiple of 59116 and 59126