What is the Greatest Common Factor of 83606 and 83623?

Greatest common factor (GCF) of 83606 and 83623 is 17.

GCF(83606,83623) = 17

We will now calculate the prime factors of 83606 and 83623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83606 and 83623.

How to find the GCF of 83606 and 83623?

We will first find the prime factorization of 83606 and 83623. After we will calculate the factors of 83606 and 83623 and find the biggest common factor number .

Step-1: Prime Factorization of 83606

Prime factors of 83606 are 2, 17, 2459. Prime factorization of 83606 in exponential form is:

83606 = 2¹ × 17¹ × 2459¹

Step-2: Prime Factorization of 83623

Prime factors of 83623 are 17, 4919. Prime factorization of 83623 in exponential form is:

83623 = 17¹ × 4919¹

Step-3: Factors of 83606

List of positive integer factors of 83606 that divides 83606 without a remainder.

1, 2, 17, 34, 2459, 4918, 41803

Step-4: Factors of 83623

List of positive integer factors of 83623 that divides 83606 without a remainder.

1, 17, 4919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83606 and 83623. The biggest common factor number is the GCF number.
So the greatest common factor 83606 and 83623 is 17.

Also check out the Least Common Multiple of 83606 and 83623