What is the Greatest Common Factor of 72075 and 72081?

Greatest common factor (GCF) of 72075 and 72081 is 3.

GCF(72075,72081) = 3

We will now calculate the prime factors of 72075 and 72081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72075 and 72081.

How to find the GCF of 72075 and 72081?

We will first find the prime factorization of 72075 and 72081. After we will calculate the factors of 72075 and 72081 and find the biggest common factor number .

Step-1: Prime Factorization of 72075

Prime factors of 72075 are 3, 5, 31. Prime factorization of 72075 in exponential form is:

72075 = 3¹ × 5² × 31²

Step-2: Prime Factorization of 72081

Prime factors of 72081 are 3, 8009. Prime factorization of 72081 in exponential form is:

72081 = 3² × 8009¹

Step-3: Factors of 72075

List of positive integer factors of 72075 that divides 72075 without a remainder.

1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 961, 2325, 2883, 4805, 14415, 24025

Step-4: Factors of 72081

List of positive integer factors of 72081 that divides 72075 without a remainder.

1, 3, 9, 8009, 24027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72075 and 72081. The biggest common factor number is the GCF number.
So the greatest common factor 72075 and 72081 is 3.

Also check out the Least Common Multiple of 72075 and 72081