What is the Greatest Common Factor of 93970 and 93975?

Greatest common factor (GCF) of 93970 and 93975 is 5.

GCF(93970,93975) = 5

We will now calculate the prime factors of 93970 and 93975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93970 and 93975.

How to find the GCF of 93970 and 93975?

We will first find the prime factorization of 93970 and 93975. After we will calculate the factors of 93970 and 93975 and find the biggest common factor number .

Step-1: Prime Factorization of 93970

Prime factors of 93970 are 2, 5, 9397. Prime factorization of 93970 in exponential form is:

93970 = 2¹ × 5¹ × 9397¹

Step-2: 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-3: Factors of 93970

List of positive integer factors of 93970 that divides 93970 without a remainder.

1, 2, 5, 10, 9397, 18794, 46985

Step-4: Factors of 93975

List of positive integer factors of 93975 that divides 93970 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93970 and 93975. The biggest common factor number is the GCF number.
So the greatest common factor 93970 and 93975 is 5.

Also check out the Least Common Multiple of 93970 and 93975