What is the Greatest Common Factor of 82050 and 82059?

Greatest common factor (GCF) of 82050 and 82059 is 3.

GCF(82050,82059) = 3

We will now calculate the prime factors of 82050 and 82059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82050 and 82059.

How to find the GCF of 82050 and 82059?

We will first find the prime factorization of 82050 and 82059. After we will calculate the factors of 82050 and 82059 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 82059

Prime factors of 82059 are 3, 17, 1609. Prime factorization of 82059 in exponential form is:

82059 = 3¹ × 17¹ × 1609¹

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 82059

List of positive integer factors of 82059 that divides 82050 without a remainder.

1, 3, 17, 51, 1609, 4827, 27353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82050 and 82059. The biggest common factor number is the GCF number.
So the greatest common factor 82050 and 82059 is 3.

Also check out the Least Common Multiple of 82050 and 82059