What is the Greatest Common Factor of 93123 and 93135?

Greatest common factor (GCF) of 93123 and 93135 is 3.

GCF(93123,93135) = 3

We will now calculate the prime factors of 93123 and 93135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93123 and 93135.

How to find the GCF of 93123 and 93135?

We will first find the prime factorization of 93123 and 93135. After we will calculate the factors of 93123 and 93135 and find the biggest common factor number .

Step-1: Prime Factorization of 93123

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

93123 = 3³ × 3449¹

Step-2: Prime Factorization of 93135

Prime factors of 93135 are 3, 5, 7, 887. Prime factorization of 93135 in exponential form is:

93135 = 3¹ × 5¹ × 7¹ × 887¹

Step-3: Factors of 93123

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

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

Step-4: Factors of 93135

List of positive integer factors of 93135 that divides 93123 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 887, 2661, 4435, 6209, 13305, 18627, 31045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93123 and 93135. The biggest common factor number is the GCF number.
So the greatest common factor 93123 and 93135 is 3.

Also check out the Least Common Multiple of 93123 and 93135