What is the Greatest Common Factor of 82260 and 82275?

Greatest common factor (GCF) of 82260 and 82275 is 15.

GCF(82260,82275) = 15

We will now calculate the prime factors of 82260 and 82275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82260 and 82275.

How to find the GCF of 82260 and 82275?

We will first find the prime factorization of 82260 and 82275. After we will calculate the factors of 82260 and 82275 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82275

Prime factors of 82275 are 3, 5, 1097. Prime factorization of 82275 in exponential form is:

82275 = 3¹ × 5² × 1097¹

Step-3: Factors of 82260

List of positive integer factors of 82260 that divides 82260 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

Step-4: Factors of 82275

List of positive integer factors of 82275 that divides 82260 without a remainder.

1, 3, 5, 15, 25, 75, 1097, 3291, 5485, 16455, 27425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82260 and 82275. The biggest common factor number is the GCF number.
So the greatest common factor 82260 and 82275 is 15.

Also check out the Least Common Multiple of 82260 and 82275