What is the Greatest Common Factor of 93900 and 93920?

Greatest common factor (GCF) of 93900 and 93920 is 20.

GCF(93900,93920) = 20

We will now calculate the prime factors of 93900 and 93920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93900 and 93920.

How to find the GCF of 93900 and 93920?

We will first find the prime factorization of 93900 and 93920. After we will calculate the factors of 93900 and 93920 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 93920

Prime factors of 93920 are 2, 5, 587. Prime factorization of 93920 in exponential form is:

93920 = 2⁵ × 5¹ × 587¹

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 93920

List of positive integer factors of 93920 that divides 93900 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 587, 1174, 2348, 2935, 4696, 5870, 9392, 11740, 18784, 23480, 46960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93900 and 93920. The biggest common factor number is the GCF number.
So the greatest common factor 93900 and 93920 is 20.

Also check out the Least Common Multiple of 93900 and 93920