What is the Greatest Common Factor of 15270 and 15279?

Greatest common factor (GCF) of 15270 and 15279 is 3.

GCF(15270,15279) = 3

We will now calculate the prime factors of 15270 and 15279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15270 and 15279.

How to find the GCF of 15270 and 15279?

We will first find the prime factorization of 15270 and 15279. After we will calculate the factors of 15270 and 15279 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 15279

Prime factors of 15279 are 3, 11, 463. Prime factorization of 15279 in exponential form is:

15279 = 3¹ × 11¹ × 463¹

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 15279

List of positive integer factors of 15279 that divides 15270 without a remainder.

1, 3, 11, 33, 463, 1389, 5093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15270 and 15279. The biggest common factor number is the GCF number.
So the greatest common factor 15270 and 15279 is 3.

Also check out the Least Common Multiple of 15270 and 15279