What is the Greatest Common Factor of 82245 and 82260?

Greatest common factor (GCF) of 82245 and 82260 is 15.

GCF(82245,82260) = 15

We will now calculate the prime factors of 82245 and 82260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82245 and 82260.

How to find the GCF of 82245 and 82260?

We will first find the prime factorization of 82245 and 82260. After we will calculate the factors of 82245 and 82260 and find the biggest common factor number .

Step-1: Prime Factorization of 82245

Prime factors of 82245 are 3, 5, 5483. Prime factorization of 82245 in exponential form is:

82245 = 3¹ × 5¹ × 5483¹

Step-2: Prime Factorization of 82260

Prime factors of 82260 are 2, 3, 5, 457. Prime factorization of 82260 in exponential form is:

82260 = 2² × 3² × 5¹ × 457¹

Step-3: Factors of 82245

List of positive integer factors of 82245 that divides 82245 without a remainder.

1, 3, 5, 15, 5483, 16449, 27415

Step-4: Factors of 82260

List of positive integer factors of 82260 that divides 82245 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 457, 914, 1371, 1828, 2285, 2742, 4113, 4570, 5484, 6855, 8226, 9140, 13710, 16452, 20565, 27420, 41130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82245 and 82260. The biggest common factor number is the GCF number.
So the greatest common factor 82245 and 82260 is 15.

Also check out the Least Common Multiple of 82245 and 82260