What is the Greatest Common Factor of 93975 and 93989?

Greatest common factor (GCF) of 93975 and 93989 is 7.

GCF(93975,93989) = 7

We will now calculate the prime factors of 93975 and 93989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93975 and 93989.

How to find the GCF of 93975 and 93989?

We will first find the prime factorization of 93975 and 93989. After we will calculate the factors of 93975 and 93989 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 93989

Prime factors of 93989 are 7, 29, 463. Prime factorization of 93989 in exponential form is:

93989 = 7¹ × 29¹ × 463¹

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 93989

List of positive integer factors of 93989 that divides 93975 without a remainder.

1, 7, 29, 203, 463, 3241, 13427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93975 and 93989. The biggest common factor number is the GCF number.
So the greatest common factor 93975 and 93989 is 7.

Also check out the Least Common Multiple of 93975 and 93989