What is the Greatest Common Factor of 15270 and 15285?

Greatest common factor (GCF) of 15270 and 15285 is 15.

GCF(15270,15285) = 15

We will now calculate the prime factors of 15270 and 15285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15270 and 15285.

How to find the GCF of 15270 and 15285?

We will first find the prime factorization of 15270 and 15285. After we will calculate the factors of 15270 and 15285 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 15285

Prime factors of 15285 are 3, 5, 1019. Prime factorization of 15285 in exponential form is:

15285 = 3¹ × 5¹ × 1019¹

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 15285

List of positive integer factors of 15285 that divides 15270 without a remainder.

1, 3, 5, 15, 1019, 3057, 5095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15270 and 15285. The biggest common factor number is the GCF number.
So the greatest common factor 15270 and 15285 is 15.

Also check out the Least Common Multiple of 15270 and 15285