What is the Greatest Common Factor of 93975 and 93993?

Greatest common factor (GCF) of 93975 and 93993 is 3.

GCF(93975,93993) = 3

We will now calculate the prime factors of 93975 and 93993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93975 and 93993.

How to find the GCF of 93975 and 93993?

We will first find the prime factorization of 93975 and 93993. After we will calculate the factors of 93975 and 93993 and find the biggest common factor number .

Step-1: Prime Factorization of 93975

Prime factors of 93975 are 3, 5, 7, 179. Prime factorization of 93975 in exponential form is:

93975 = 3¹ × 5² × 7¹ × 179¹

Step-2: Prime Factorization of 93993

Prime factors of 93993 are 3, 17, 19, 97. Prime factorization of 93993 in exponential form is:

93993 = 3¹ × 17¹ × 19¹ × 97¹

Step-3: Factors of 93975

List of positive integer factors of 93975 that divides 93975 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 179, 525, 537, 895, 1253, 2685, 3759, 4475, 6265, 13425, 18795, 31325

Step-4: Factors of 93993

List of positive integer factors of 93993 that divides 93975 without a remainder.

1, 3, 17, 19, 51, 57, 97, 291, 323, 969, 1649, 1843, 4947, 5529, 31331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93975 and 93993. The biggest common factor number is the GCF number.
So the greatest common factor 93975 and 93993 is 3.

Also check out the Least Common Multiple of 93975 and 93993