What is the Greatest Common Factor of 59109 and 59116?

Greatest common factor (GCF) of 59109 and 59116 is 1.

GCF(59109,59116) = 1

We will now calculate the prime factors of 59109 and 59116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59109 and 59116.

How to find the GCF of 59109 and 59116?

We will first find the prime factorization of 59109 and 59116. After we will calculate the factors of 59109 and 59116 and find the biggest common factor number .

Step-1: Prime Factorization of 59109

Prime factors of 59109 are 3, 17, 19, 61. Prime factorization of 59109 in exponential form is:

59109 = 3¹ × 17¹ × 19¹ × 61¹

Step-2: Prime Factorization of 59116

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

59116 = 2² × 14779¹

Step-3: Factors of 59109

List of positive integer factors of 59109 that divides 59109 without a remainder.

1, 3, 17, 19, 51, 57, 61, 183, 323, 969, 1037, 1159, 3111, 3477, 19703

Step-4: Factors of 59116

List of positive integer factors of 59116 that divides 59109 without a remainder.

1, 2, 4, 14779, 29558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59109 and 59116. The biggest common factor number is the GCF number.
So the greatest common factor 59109 and 59116 is 1.

Also check out the Least Common Multiple of 59109 and 59116