What is the Greatest Common Factor of 83674 and 83686?

Greatest common factor (GCF) of 83674 and 83686 is 2.

GCF(83674,83686) = 2

We will now calculate the prime factors of 83674 and 83686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83674 and 83686.

How to find the GCF of 83674 and 83686?

We will first find the prime factorization of 83674 and 83686. After we will calculate the factors of 83674 and 83686 and find the biggest common factor number .

Step-1: Prime Factorization of 83674

Prime factors of 83674 are 2, 17, 23, 107. Prime factorization of 83674 in exponential form is:

83674 = 2¹ × 17¹ × 23¹ × 107¹

Step-2: Prime Factorization of 83686

Prime factors of 83686 are 2, 41843. Prime factorization of 83686 in exponential form is:

83686 = 2¹ × 41843¹

Step-3: Factors of 83674

List of positive integer factors of 83674 that divides 83674 without a remainder.

1, 2, 17, 23, 34, 46, 107, 214, 391, 782, 1819, 2461, 3638, 4922, 41837

Step-4: Factors of 83686

List of positive integer factors of 83686 that divides 83674 without a remainder.

1, 2, 41843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83674 and 83686. The biggest common factor number is the GCF number.
So the greatest common factor 83674 and 83686 is 2.

Also check out the Least Common Multiple of 83674 and 83686