What is the Greatest Common Factor of 59109 and 59123?

Greatest common factor (GCF) of 59109 and 59123 is 1.

GCF(59109,59123) = 1

We will now calculate the prime factors of 59109 and 59123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59109 and 59123.

How to find the GCF of 59109 and 59123?

We will first find the prime factorization of 59109 and 59123. After we will calculate the factors of 59109 and 59123 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 59123

Prime factors of 59123 are 59123. Prime factorization of 59123 in exponential form is:

59123 = 59123¹

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 59123

List of positive integer factors of 59123 that divides 59109 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59109 and 59123. The biggest common factor number is the GCF number.
So the greatest common factor 59109 and 59123 is 1.

Also check out the Least Common Multiple of 59109 and 59123