What is the Greatest Common Factor of 73047 and 73065?

Greatest common factor (GCF) of 73047 and 73065 is 3.

GCF(73047,73065) = 3

We will now calculate the prime factors of 73047 and 73065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73047 and 73065.

How to find the GCF of 73047 and 73065?

We will first find the prime factorization of 73047 and 73065. After we will calculate the factors of 73047 and 73065 and find the biggest common factor number .

Step-1: Prime Factorization of 73047

Prime factors of 73047 are 3, 13, 1873. Prime factorization of 73047 in exponential form is:

73047 = 3¹ × 13¹ × 1873¹

Step-2: 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-3: Factors of 73047

List of positive integer factors of 73047 that divides 73047 without a remainder.

1, 3, 13, 39, 1873, 5619, 24349

Step-4: Factors of 73065

List of positive integer factors of 73065 that divides 73047 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73047 and 73065. The biggest common factor number is the GCF number.
So the greatest common factor 73047 and 73065 is 3.

Also check out the Least Common Multiple of 73047 and 73065