What is the Greatest Common Factor of 15275 and 15290?

Greatest common factor (GCF) of 15275 and 15290 is 5.

GCF(15275,15290) = 5

We will now calculate the prime factors of 15275 and 15290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15275 and 15290.

How to find the GCF of 15275 and 15290?

We will first find the prime factorization of 15275 and 15290. After we will calculate the factors of 15275 and 15290 and find the biggest common factor number .

Step-1: Prime Factorization of 15275

Prime factors of 15275 are 5, 13, 47. Prime factorization of 15275 in exponential form is:

15275 = 5² × 13¹ × 47¹

Step-2: 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-3: Factors of 15275

List of positive integer factors of 15275 that divides 15275 without a remainder.

1, 5, 13, 25, 47, 65, 235, 325, 611, 1175, 3055

Step-4: Factors of 15290

List of positive integer factors of 15290 that divides 15275 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15275 and 15290. The biggest common factor number is the GCF number.
So the greatest common factor 15275 and 15290 is 5.

Also check out the Least Common Multiple of 15275 and 15290