What is the Greatest Common Factor of 15270 and 15286?

Greatest common factor (GCF) of 15270 and 15286 is 2.

GCF(15270,15286) = 2

We will now calculate the prime factors of 15270 and 15286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15270 and 15286.

How to find the GCF of 15270 and 15286?

We will first find the prime factorization of 15270 and 15286. After we will calculate the factors of 15270 and 15286 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 15286

Prime factors of 15286 are 2, 7643. Prime factorization of 15286 in exponential form is:

15286 = 2¹ × 7643¹

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 15286

List of positive integer factors of 15286 that divides 15270 without a remainder.

1, 2, 7643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15270 and 15286. The biggest common factor number is the GCF number.
So the greatest common factor 15270 and 15286 is 2.

Also check out the Least Common Multiple of 15270 and 15286