What is the Greatest Common Factor of 82986 and 83000?

Greatest common factor (GCF) of 82986 and 83000 is 2.

GCF(82986,83000) = 2

We will now calculate the prime factors of 82986 and 83000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82986 and 83000.

How to find the GCF of 82986 and 83000?

We will first find the prime factorization of 82986 and 83000. After we will calculate the factors of 82986 and 83000 and find the biggest common factor number .

Step-1: Prime Factorization of 82986

Prime factors of 82986 are 2, 3, 13831. Prime factorization of 82986 in exponential form is:

82986 = 2¹ × 3¹ × 13831¹

Step-2: Prime Factorization of 83000

Prime factors of 83000 are 2, 5, 83. Prime factorization of 83000 in exponential form is:

83000 = 2³ × 5³ × 83¹

Step-3: Factors of 82986

List of positive integer factors of 82986 that divides 82986 without a remainder.

1, 2, 3, 6, 13831, 27662, 41493

Step-4: Factors of 83000

List of positive integer factors of 83000 that divides 82986 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 83, 100, 125, 166, 200, 250, 332, 415, 500, 664, 830, 1000, 1660, 2075, 3320, 4150, 8300, 10375, 16600, 20750, 41500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82986 and 83000. The biggest common factor number is the GCF number.
So the greatest common factor 82986 and 83000 is 2.

Also check out the Least Common Multiple of 82986 and 83000