What is the Greatest Common Factor of 72165 and 72173?

Greatest common factor (GCF) of 72165 and 72173 is 1.

GCF(72165,72173) = 1

We will now calculate the prime factors of 72165 and 72173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72165 and 72173.

How to find the GCF of 72165 and 72173?

We will first find the prime factorization of 72165 and 72173. After we will calculate the factors of 72165 and 72173 and find the biggest common factor number .

Step-1: Prime Factorization of 72165

Prime factors of 72165 are 3, 5, 17, 283. Prime factorization of 72165 in exponential form is:

72165 = 3¹ × 5¹ × 17¹ × 283¹

Step-2: Prime Factorization of 72173

Prime factors of 72173 are 72173. Prime factorization of 72173 in exponential form is:

72173 = 72173¹

Step-3: Factors of 72165

List of positive integer factors of 72165 that divides 72165 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 283, 849, 1415, 4245, 4811, 14433, 24055

Step-4: Factors of 72173

List of positive integer factors of 72173 that divides 72165 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72165 and 72173. The biggest common factor number is the GCF number.
So the greatest common factor 72165 and 72173 is 1.

Also check out the Least Common Multiple of 72165 and 72173