What is the Greatest Common Factor of 83649 and 83667?

Greatest common factor (GCF) of 83649 and 83667 is 3.

GCF(83649,83667) = 3

We will now calculate the prime factors of 83649 and 83667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83649 and 83667.

How to find the GCF of 83649 and 83667?

We will first find the prime factorization of 83649 and 83667. After we will calculate the factors of 83649 and 83667 and find the biggest common factor number .

Step-1: Prime Factorization of 83649

Prime factors of 83649 are 3, 27883. Prime factorization of 83649 in exponential form is:

83649 = 3¹ × 27883¹

Step-2: Prime Factorization of 83667

Prime factors of 83667 are 3, 167. Prime factorization of 83667 in exponential form is:

83667 = 3¹ × 167²

Step-3: Factors of 83649

List of positive integer factors of 83649 that divides 83649 without a remainder.

1, 3, 27883

Step-4: Factors of 83667

List of positive integer factors of 83667 that divides 83649 without a remainder.

1, 3, 167, 501, 27889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83649 and 83667. The biggest common factor number is the GCF number.
So the greatest common factor 83649 and 83667 is 3.

Also check out the Least Common Multiple of 83649 and 83667