What is the Greatest Common Factor of 93900 and 93909?

Greatest common factor (GCF) of 93900 and 93909 is 3.

GCF(93900,93909) = 3

We will now calculate the prime factors of 93900 and 93909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93900 and 93909.

How to find the GCF of 93900 and 93909?

We will first find the prime factorization of 93900 and 93909. After we will calculate the factors of 93900 and 93909 and find the biggest common factor number .

Step-1: Prime Factorization of 93900

Prime factors of 93900 are 2, 3, 5, 313. Prime factorization of 93900 in exponential form is:

93900 = 2² × 3¹ × 5² × 313¹

Step-2: 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-3: Factors of 93900

List of positive integer factors of 93900 that divides 93900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, 313, 626, 939, 1252, 1565, 1878, 3130, 3756, 4695, 6260, 7825, 9390, 15650, 18780, 23475, 31300, 46950

Step-4: Factors of 93909

List of positive integer factors of 93909 that divides 93900 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93900 and 93909. The biggest common factor number is the GCF number.
So the greatest common factor 93900 and 93909 is 3.

Also check out the Least Common Multiple of 93900 and 93909