What is the Greatest Common Factor of 93114 and 93123?

Greatest common factor (GCF) of 93114 and 93123 is 9.

GCF(93114,93123) = 9

We will now calculate the prime factors of 93114 and 93123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93114 and 93123.

How to find the GCF of 93114 and 93123?

We will first find the prime factorization of 93114 and 93123. After we will calculate the factors of 93114 and 93123 and find the biggest common factor number .

Step-1: Prime Factorization of 93114

Prime factors of 93114 are 2, 3, 7, 739. Prime factorization of 93114 in exponential form is:

93114 = 2¹ × 3² × 7¹ × 739¹

Step-2: Prime Factorization of 93123

Prime factors of 93123 are 3, 3449. Prime factorization of 93123 in exponential form is:

93123 = 3³ × 3449¹

Step-3: Factors of 93114

List of positive integer factors of 93114 that divides 93114 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 739, 1478, 2217, 4434, 5173, 6651, 10346, 13302, 15519, 31038, 46557

Step-4: Factors of 93123

List of positive integer factors of 93123 that divides 93114 without a remainder.

1, 3, 9, 27, 3449, 10347, 31041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93114 and 93123. The biggest common factor number is the GCF number.
So the greatest common factor 93114 and 93123 is 9.

Also check out the Least Common Multiple of 93114 and 93123