What is the Greatest Common Factor of 93920 and 93940?

Greatest common factor (GCF) of 93920 and 93940 is 20.

GCF(93920,93940) = 20

We will now calculate the prime factors of 93920 and 93940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93920 and 93940.

How to find the GCF of 93920 and 93940?

We will first find the prime factorization of 93920 and 93940. After we will calculate the factors of 93920 and 93940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93940

Prime factors of 93940 are 2, 5, 7, 11, 61. Prime factorization of 93940 in exponential form is:

93940 = 2² × 5¹ × 7¹ × 11¹ × 61¹

Step-3: Factors of 93920

List of positive integer factors of 93920 that divides 93920 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

Step-4: Factors of 93940

List of positive integer factors of 93940 that divides 93920 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 61, 70, 77, 110, 122, 140, 154, 220, 244, 305, 308, 385, 427, 610, 671, 770, 854, 1220, 1342, 1540, 1708, 2135, 2684, 3355, 4270, 4697, 6710, 8540, 9394, 13420, 18788, 23485, 46970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93920 and 93940. The biggest common factor number is the GCF number.
So the greatest common factor 93920 and 93940 is 20.

Also check out the Least Common Multiple of 93920 and 93940