What is the Greatest Common Factor of 86349 and 86367?

Greatest common factor (GCF) of 86349 and 86367 is 3.

GCF(86349,86367) = 3

We will now calculate the prime factors of 86349 and 86367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86349 and 86367.

How to find the GCF of 86349 and 86367?

We will first find the prime factorization of 86349 and 86367. After we will calculate the factors of 86349 and 86367 and find the biggest common factor number .

Step-1: Prime Factorization of 86349

Prime factors of 86349 are 3, 107, 269. Prime factorization of 86349 in exponential form is:

86349 = 3¹ × 107¹ × 269¹

Step-2: Prime Factorization of 86367

Prime factors of 86367 are 3, 28789. Prime factorization of 86367 in exponential form is:

86367 = 3¹ × 28789¹

Step-3: Factors of 86349

List of positive integer factors of 86349 that divides 86349 without a remainder.

1, 3, 107, 269, 321, 807, 28783

Step-4: Factors of 86367

List of positive integer factors of 86367 that divides 86349 without a remainder.

1, 3, 28789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86349 and 86367. The biggest common factor number is the GCF number.
So the greatest common factor 86349 and 86367 is 3.

Also check out the Least Common Multiple of 86349 and 86367