What is the Greatest Common Factor of 59109 and 59118?

Greatest common factor (GCF) of 59109 and 59118 is 3.

GCF(59109,59118) = 3

We will now calculate the prime factors of 59109 and 59118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59109 and 59118.

How to find the GCF of 59109 and 59118?

We will first find the prime factorization of 59109 and 59118. After we will calculate the factors of 59109 and 59118 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 59118

Prime factors of 59118 are 2, 3, 59, 167. Prime factorization of 59118 in exponential form is:

59118 = 2¹ × 3¹ × 59¹ × 167¹

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 59118

List of positive integer factors of 59118 that divides 59109 without a remainder.

1, 2, 3, 6, 59, 118, 167, 177, 334, 354, 501, 1002, 9853, 19706, 29559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59109 and 59118. The biggest common factor number is the GCF number.
So the greatest common factor 59109 and 59118 is 3.

Also check out the Least Common Multiple of 59109 and 59118