What is the Greatest Common Factor of 82275 and 82290?

Greatest common factor (GCF) of 82275 and 82290 is 15.

GCF(82275,82290) = 15

We will now calculate the prime factors of 82275 and 82290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82275 and 82290.

How to find the GCF of 82275 and 82290?

We will first find the prime factorization of 82275 and 82290. After we will calculate the factors of 82275 and 82290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82290

Prime factors of 82290 are 2, 3, 5, 13, 211. Prime factorization of 82290 in exponential form is:

82290 = 2¹ × 3¹ × 5¹ × 13¹ × 211¹

Step-3: Factors of 82275

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

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

Step-4: Factors of 82290

List of positive integer factors of 82290 that divides 82275 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 211, 390, 422, 633, 1055, 1266, 2110, 2743, 3165, 5486, 6330, 8229, 13715, 16458, 27430, 41145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82275 and 82290. The biggest common factor number is the GCF number.
So the greatest common factor 82275 and 82290 is 15.

Also check out the Least Common Multiple of 82275 and 82290