What is the Greatest Common Factor of 66118 and 66123?

Greatest common factor (GCF) of 66118 and 66123 is 1.

GCF(66118,66123) = 1

We will now calculate the prime factors of 66118 and 66123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66118 and 66123.

How to find the GCF of 66118 and 66123?

We will first find the prime factorization of 66118 and 66123. After we will calculate the factors of 66118 and 66123 and find the biggest common factor number .

Step-1: Prime Factorization of 66118

Prime factors of 66118 are 2, 13, 2543. Prime factorization of 66118 in exponential form is:

66118 = 2¹ × 13¹ × 2543¹

Step-2: Prime Factorization of 66123

Prime factors of 66123 are 3, 31, 79. Prime factorization of 66123 in exponential form is:

66123 = 3³ × 31¹ × 79¹

Step-3: Factors of 66118

List of positive integer factors of 66118 that divides 66118 without a remainder.

1, 2, 13, 26, 2543, 5086, 33059

Step-4: Factors of 66123

List of positive integer factors of 66123 that divides 66118 without a remainder.

1, 3, 9, 27, 31, 79, 93, 237, 279, 711, 837, 2133, 2449, 7347, 22041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66118 and 66123. The biggest common factor number is the GCF number.
So the greatest common factor 66118 and 66123 is 1.

Also check out the Least Common Multiple of 66118 and 66123