What is the Greatest Common Factor of 73083 and 73095?

Greatest common factor (GCF) of 73083 and 73095 is 3.

GCF(73083,73095) = 3

We will now calculate the prime factors of 73083 and 73095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73083 and 73095.

How to find the GCF of 73083 and 73095?

We will first find the prime factorization of 73083 and 73095. After we will calculate the factors of 73083 and 73095 and find the biggest common factor number .

Step-1: Prime Factorization of 73083

Prime factors of 73083 are 3, 17, 1433. Prime factorization of 73083 in exponential form is:

73083 = 3¹ × 17¹ × 1433¹

Step-2: Prime Factorization of 73095

Prime factors of 73095 are 3, 5, 11, 443. Prime factorization of 73095 in exponential form is:

73095 = 3¹ × 5¹ × 11¹ × 443¹

Step-3: Factors of 73083

List of positive integer factors of 73083 that divides 73083 without a remainder.

1, 3, 17, 51, 1433, 4299, 24361

Step-4: Factors of 73095

List of positive integer factors of 73095 that divides 73083 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 443, 1329, 2215, 4873, 6645, 14619, 24365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73083 and 73095. The biggest common factor number is the GCF number.
So the greatest common factor 73083 and 73095 is 3.

Also check out the Least Common Multiple of 73083 and 73095