What is the Greatest Common Factor of 15065 and 15075?

Greatest common factor (GCF) of 15065 and 15075 is 5.

GCF(15065,15075) = 5

We will now calculate the prime factors of 15065 and 15075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15065 and 15075.

How to find the GCF of 15065 and 15075?

We will first find the prime factorization of 15065 and 15075. After we will calculate the factors of 15065 and 15075 and find the biggest common factor number .

Step-1: Prime Factorization of 15065

Prime factors of 15065 are 5, 23, 131. Prime factorization of 15065 in exponential form is:

15065 = 5¹ × 23¹ × 131¹

Step-2: Prime Factorization of 15075

Prime factors of 15075 are 3, 5, 67. Prime factorization of 15075 in exponential form is:

15075 = 3² × 5² × 67¹

Step-3: Factors of 15065

List of positive integer factors of 15065 that divides 15065 without a remainder.

1, 5, 23, 115, 131, 655, 3013

Step-4: Factors of 15075

List of positive integer factors of 15075 that divides 15065 without a remainder.

1, 3, 5, 9, 15, 25, 45, 67, 75, 201, 225, 335, 603, 1005, 1675, 3015, 5025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15065 and 15075. The biggest common factor number is the GCF number.
So the greatest common factor 15065 and 15075 is 5.

Also check out the Least Common Multiple of 15065 and 15075