What is the Greatest Common Factor of 93930 and 93940?

Greatest common factor (GCF) of 93930 and 93940 is 10.

GCF(93930,93940) = 10

We will now calculate the prime factors of 93930 and 93940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93930 and 93940.

How to find the GCF of 93930 and 93940?

We will first find the prime factorization of 93930 and 93940. After we will calculate the factors of 93930 and 93940 and find the biggest common factor number .

Step-1: Prime Factorization of 93930

Prime factors of 93930 are 2, 3, 5, 31, 101. Prime factorization of 93930 in exponential form is:

93930 = 2¹ × 3¹ × 5¹ × 31¹ × 101¹

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 93930

List of positive integer factors of 93930 that divides 93930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 101, 155, 186, 202, 303, 310, 465, 505, 606, 930, 1010, 1515, 3030, 3131, 6262, 9393, 15655, 18786, 31310, 46965

Step-4: Factors of 93940

List of positive integer factors of 93940 that divides 93930 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 93930 and 93940. The biggest common factor number is the GCF number.
So the greatest common factor 93930 and 93940 is 10.

Also check out the Least Common Multiple of 93930 and 93940