What is the Greatest Common Factor of 73065 and 73083?

Greatest common factor (GCF) of 73065 and 73083 is 3.

GCF(73065,73083) = 3

We will now calculate the prime factors of 73065 and 73083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73065 and 73083.

How to find the GCF of 73065 and 73083?

We will first find the prime factorization of 73065 and 73083. After we will calculate the factors of 73065 and 73083 and find the biggest common factor number .

Step-1: Prime Factorization of 73065

Prime factors of 73065 are 3, 5, 4871. Prime factorization of 73065 in exponential form is:

73065 = 3¹ × 5¹ × 4871¹

Step-2: 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-3: Factors of 73065

List of positive integer factors of 73065 that divides 73065 without a remainder.

1, 3, 5, 15, 4871, 14613, 24355

Step-4: Factors of 73083

List of positive integer factors of 73083 that divides 73065 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73065 and 73083. The biggest common factor number is the GCF number.
So the greatest common factor 73065 and 73083 is 3.

Also check out the Least Common Multiple of 73065 and 73083