What is the Greatest Common Factor of 73065 and 73085?

Greatest common factor (GCF) of 73065 and 73085 is 5.

GCF(73065,73085) = 5

We will now calculate the prime factors of 73065 and 73085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73065 and 73085.

How to find the GCF of 73065 and 73085?

We will first find the prime factorization of 73065 and 73085. After we will calculate the factors of 73065 and 73085 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 73085

Prime factors of 73085 are 5, 47, 311. Prime factorization of 73085 in exponential form is:

73085 = 5¹ × 47¹ × 311¹

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 73085

List of positive integer factors of 73085 that divides 73065 without a remainder.

1, 5, 47, 235, 311, 1555, 14617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73065 and 73085. The biggest common factor number is the GCF number.
So the greatest common factor 73065 and 73085 is 5.

Also check out the Least Common Multiple of 73065 and 73085