What is the Greatest Common Factor of 82050 and 82065?

Greatest common factor (GCF) of 82050 and 82065 is 15.

GCF(82050,82065) = 15

We will now calculate the prime factors of 82050 and 82065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82050 and 82065.

How to find the GCF of 82050 and 82065?

We will first find the prime factorization of 82050 and 82065. After we will calculate the factors of 82050 and 82065 and find the biggest common factor number .

Step-1: Prime Factorization of 82050

Prime factors of 82050 are 2, 3, 5, 547. Prime factorization of 82050 in exponential form is:

82050 = 2¹ × 3¹ × 5² × 547¹

Step-2: Prime Factorization of 82065

Prime factors of 82065 are 3, 5, 5471. Prime factorization of 82065 in exponential form is:

82065 = 3¹ × 5¹ × 5471¹

Step-3: Factors of 82050

List of positive integer factors of 82050 that divides 82050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 547, 1094, 1641, 2735, 3282, 5470, 8205, 13675, 16410, 27350, 41025

Step-4: Factors of 82065

List of positive integer factors of 82065 that divides 82050 without a remainder.

1, 3, 5, 15, 5471, 16413, 27355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82050 and 82065. The biggest common factor number is the GCF number.
So the greatest common factor 82050 and 82065 is 15.

Also check out the Least Common Multiple of 82050 and 82065