What is the Greatest Common Factor of 93925 and 93930?

Greatest common factor (GCF) of 93925 and 93930 is 5.

GCF(93925,93930) = 5

We will now calculate the prime factors of 93925 and 93930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93925 and 93930.

How to find the GCF of 93925 and 93930?

We will first find the prime factorization of 93925 and 93930. After we will calculate the factors of 93925 and 93930 and find the biggest common factor number .

Step-1: Prime Factorization of 93925

Prime factors of 93925 are 5, 13, 17. Prime factorization of 93925 in exponential form is:

93925 = 5² × 13¹ × 17²

Step-2: 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-3: Factors of 93925

List of positive integer factors of 93925 that divides 93925 without a remainder.

1, 5, 13, 17, 25, 65, 85, 221, 289, 325, 425, 1105, 1445, 3757, 5525, 7225, 18785

Step-4: Factors of 93930

List of positive integer factors of 93930 that divides 93925 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93925 and 93930. The biggest common factor number is the GCF number.
So the greatest common factor 93925 and 93930 is 5.

Also check out the Least Common Multiple of 93925 and 93930