What is the Greatest Common Factor of 93909 and 93918?

Greatest common factor (GCF) of 93909 and 93918 is 3.

GCF(93909,93918) = 3

We will now calculate the prime factors of 93909 and 93918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93909 and 93918.

How to find the GCF of 93909 and 93918?

We will first find the prime factorization of 93909 and 93918. After we will calculate the factors of 93909 and 93918 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 93918

Prime factors of 93918 are 2, 3, 11, 1423. Prime factorization of 93918 in exponential form is:

93918 = 2¹ × 3¹ × 11¹ × 1423¹

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 93918

List of positive integer factors of 93918 that divides 93909 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1423, 2846, 4269, 8538, 15653, 31306, 46959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93909 and 93918. The biggest common factor number is the GCF number.
So the greatest common factor 93909 and 93918 is 3.

Also check out the Least Common Multiple of 93909 and 93918