What is the Greatest Common Factor of 15290 and 15305?

Greatest common factor (GCF) of 15290 and 15305 is 5.

GCF(15290,15305) = 5

We will now calculate the prime factors of 15290 and 15305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15290 and 15305.

How to find the GCF of 15290 and 15305?

We will first find the prime factorization of 15290 and 15305. After we will calculate the factors of 15290 and 15305 and find the biggest common factor number .

Step-1: Prime Factorization of 15290

Prime factors of 15290 are 2, 5, 11, 139. Prime factorization of 15290 in exponential form is:

15290 = 2¹ × 5¹ × 11¹ × 139¹

Step-2: Prime Factorization of 15305

Prime factors of 15305 are 5, 3061. Prime factorization of 15305 in exponential form is:

15305 = 5¹ × 3061¹

Step-3: Factors of 15290

List of positive integer factors of 15290 that divides 15290 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 139, 278, 695, 1390, 1529, 3058, 7645

Step-4: Factors of 15305

List of positive integer factors of 15305 that divides 15290 without a remainder.

1, 5, 3061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15290 and 15305. The biggest common factor number is the GCF number.
So the greatest common factor 15290 and 15305 is 5.

Also check out the Least Common Multiple of 15290 and 15305