What is the Greatest Common Factor of 15045 and 15065?

Greatest common factor (GCF) of 15045 and 15065 is 5.

GCF(15045,15065) = 5

We will now calculate the prime factors of 15045 and 15065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15045 and 15065.

How to find the GCF of 15045 and 15065?

We will first find the prime factorization of 15045 and 15065. After we will calculate the factors of 15045 and 15065 and find the biggest common factor number .

Step-1: Prime Factorization of 15045

Prime factors of 15045 are 3, 5, 17, 59. Prime factorization of 15045 in exponential form is:

15045 = 3¹ × 5¹ × 17¹ × 59¹

Step-2: 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-3: Factors of 15045

List of positive integer factors of 15045 that divides 15045 without a remainder.

1, 3, 5, 15, 17, 51, 59, 85, 177, 255, 295, 885, 1003, 3009, 5015

Step-4: Factors of 15065

List of positive integer factors of 15065 that divides 15045 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15045 and 15065. The biggest common factor number is the GCF number.
So the greatest common factor 15045 and 15065 is 5.

Also check out the Least Common Multiple of 15045 and 15065