What is the Greatest Common Factor of 93900 and 93916?

Greatest common factor (GCF) of 93900 and 93916 is 4.

GCF(93900,93916) = 4

We will now calculate the prime factors of 93900 and 93916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93900 and 93916.

How to find the GCF of 93900 and 93916?

We will first find the prime factorization of 93900 and 93916. After we will calculate the factors of 93900 and 93916 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 93916

Prime factors of 93916 are 2, 53, 443. Prime factorization of 93916 in exponential form is:

93916 = 2² × 53¹ × 443¹

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 93916

List of positive integer factors of 93916 that divides 93900 without a remainder.

1, 2, 4, 53, 106, 212, 443, 886, 1772, 23479, 46958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93900 and 93916. The biggest common factor number is the GCF number.
So the greatest common factor 93900 and 93916 is 4.

Also check out the Least Common Multiple of 93900 and 93916