What is the Greatest Common Factor of 72165 and 72183?

Greatest common factor (GCF) of 72165 and 72183 is 3.

GCF(72165,72183) = 3

We will now calculate the prime factors of 72165 and 72183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72165 and 72183.

How to find the GCF of 72165 and 72183?

We will first find the prime factorization of 72165 and 72183. After we will calculate the factors of 72165 and 72183 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 72183

Prime factors of 72183 are 3, 24061. Prime factorization of 72183 in exponential form is:

72183 = 3¹ × 24061¹

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 72183

List of positive integer factors of 72183 that divides 72165 without a remainder.

1, 3, 24061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72165 and 72183. The biggest common factor number is the GCF number.
So the greatest common factor 72165 and 72183 is 3.

Also check out the Least Common Multiple of 72165 and 72183