What is the Greatest Common Factor of 16245 and 16260?

Greatest common factor (GCF) of 16245 and 16260 is 15.

GCF(16245,16260) = 15

We will now calculate the prime factors of 16245 and 16260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16245 and 16260.

How to find the GCF of 16245 and 16260?

We will first find the prime factorization of 16245 and 16260. After we will calculate the factors of 16245 and 16260 and find the biggest common factor number .

Step-1: Prime Factorization of 16245

Prime factors of 16245 are 3, 5, 19. Prime factorization of 16245 in exponential form is:

16245 = 3² × 5¹ × 19²

Step-2: Prime Factorization of 16260

Prime factors of 16260 are 2, 3, 5, 271. Prime factorization of 16260 in exponential form is:

16260 = 2² × 3¹ × 5¹ × 271¹

Step-3: Factors of 16245

List of positive integer factors of 16245 that divides 16245 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 361, 855, 1083, 1805, 3249, 5415

Step-4: Factors of 16260

List of positive integer factors of 16260 that divides 16245 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 271, 542, 813, 1084, 1355, 1626, 2710, 3252, 4065, 5420, 8130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16245 and 16260. The biggest common factor number is the GCF number.
So the greatest common factor 16245 and 16260 is 15.

Also check out the Least Common Multiple of 16245 and 16260