What is the Greatest Common Factor of 15270 and 15275?

Greatest common factor (GCF) of 15270 and 15275 is 5.

GCF(15270,15275) = 5

We will now calculate the prime factors of 15270 and 15275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15270 and 15275.

How to find the GCF of 15270 and 15275?

We will first find the prime factorization of 15270 and 15275. After we will calculate the factors of 15270 and 15275 and find the biggest common factor number .

Step-1: Prime Factorization of 15270

Prime factors of 15270 are 2, 3, 5, 509. Prime factorization of 15270 in exponential form is:

15270 = 2¹ × 3¹ × 5¹ × 509¹

Step-2: 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-3: Factors of 15270

List of positive integer factors of 15270 that divides 15270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 509, 1018, 1527, 2545, 3054, 5090, 7635

Step-4: Factors of 15275

List of positive integer factors of 15275 that divides 15270 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15270 and 15275. The biggest common factor number is the GCF number.
So the greatest common factor 15270 and 15275 is 5.

Also check out the Least Common Multiple of 15270 and 15275