What is the Greatest Common Factor of 82059 and 82076?

Greatest common factor (GCF) of 82059 and 82076 is 17.

GCF(82059,82076) = 17

We will now calculate the prime factors of 82059 and 82076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82059 and 82076.

How to find the GCF of 82059 and 82076?

We will first find the prime factorization of 82059 and 82076. After we will calculate the factors of 82059 and 82076 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82076

Prime factors of 82076 are 2, 17, 71. Prime factorization of 82076 in exponential form is:

82076 = 2² × 17² × 71¹

Step-3: Factors of 82059

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

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

Step-4: Factors of 82076

List of positive integer factors of 82076 that divides 82059 without a remainder.

1, 2, 4, 17, 34, 68, 71, 142, 284, 289, 578, 1156, 1207, 2414, 4828, 20519, 41038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82059 and 82076. The biggest common factor number is the GCF number.
So the greatest common factor 82059 and 82076 is 17.

Also check out the Least Common Multiple of 82059 and 82076