What is the Greatest Common Factor of 93909 and 93927?

Greatest common factor (GCF) of 93909 and 93927 is 3.

GCF(93909,93927) = 3

We will now calculate the prime factors of 93909 and 93927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93909 and 93927.

How to find the GCF of 93909 and 93927?

We will first find the prime factorization of 93909 and 93927. After we will calculate the factors of 93909 and 93927 and find the biggest common factor number .

Step-1: Prime Factorization of 93909

Prime factors of 93909 are 3, 23, 1361. Prime factorization of 93909 in exponential form is:

93909 = 3¹ × 23¹ × 1361¹

Step-2: Prime Factorization of 93927

Prime factors of 93927 are 3, 131, 239. Prime factorization of 93927 in exponential form is:

93927 = 3¹ × 131¹ × 239¹

Step-3: Factors of 93909

List of positive integer factors of 93909 that divides 93909 without a remainder.

1, 3, 23, 69, 1361, 4083, 31303

Step-4: Factors of 93927

List of positive integer factors of 93927 that divides 93909 without a remainder.

1, 3, 131, 239, 393, 717, 31309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93909 and 93927. The biggest common factor number is the GCF number.
So the greatest common factor 93909 and 93927 is 3.

Also check out the Least Common Multiple of 93909 and 93927