What is the Greatest Common Factor of 15275 and 15282?

Greatest common factor (GCF) of 15275 and 15282 is 1.

GCF(15275,15282) = 1

We will now calculate the prime factors of 15275 and 15282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15275 and 15282.

How to find the GCF of 15275 and 15282?

We will first find the prime factorization of 15275 and 15282. After we will calculate the factors of 15275 and 15282 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 15282

Prime factors of 15282 are 2, 3, 283. Prime factorization of 15282 in exponential form is:

15282 = 2¹ × 3³ × 283¹

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 15282

List of positive integer factors of 15282 that divides 15275 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 283, 566, 849, 1698, 2547, 5094, 7641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15275 and 15282. The biggest common factor number is the GCF number.
So the greatest common factor 15275 and 15282 is 1.

Also check out the Least Common Multiple of 15275 and 15282