What is the Greatest Common Factor of 15145 and 15155?

Greatest common factor (GCF) of 15145 and 15155 is 5.

GCF(15145,15155) = 5

We will now calculate the prime factors of 15145 and 15155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15145 and 15155.

How to find the GCF of 15145 and 15155?

We will first find the prime factorization of 15145 and 15155. After we will calculate the factors of 15145 and 15155 and find the biggest common factor number .

Step-1: Prime Factorization of 15145

Prime factors of 15145 are 5, 13, 233. Prime factorization of 15145 in exponential form is:

15145 = 5¹ × 13¹ × 233¹

Step-2: Prime Factorization of 15155

Prime factors of 15155 are 5, 7, 433. Prime factorization of 15155 in exponential form is:

15155 = 5¹ × 7¹ × 433¹

Step-3: Factors of 15145

List of positive integer factors of 15145 that divides 15145 without a remainder.

1, 5, 13, 65, 233, 1165, 3029

Step-4: Factors of 15155

List of positive integer factors of 15155 that divides 15145 without a remainder.

1, 5, 7, 35, 433, 2165, 3031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15145 and 15155. The biggest common factor number is the GCF number.
So the greatest common factor 15145 and 15155 is 5.

Also check out the Least Common Multiple of 15145 and 15155