What is the Greatest Common Factor of 89367 and 89373?

Greatest common factor (GCF) of 89367 and 89373 is 3.

GCF(89367,89373) = 3

We will now calculate the prime factors of 89367 and 89373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89367 and 89373.

How to find the GCF of 89367 and 89373?

We will first find the prime factorization of 89367 and 89373. After we will calculate the factors of 89367 and 89373 and find the biggest common factor number .

Step-1: Prime Factorization of 89367

Prime factors of 89367 are 3, 29789. Prime factorization of 89367 in exponential form is:

89367 = 3¹ × 29789¹

Step-2: Prime Factorization of 89373

Prime factors of 89373 are 3, 31. Prime factorization of 89373 in exponential form is:

89373 = 3¹ × 31³

Step-3: Factors of 89367

List of positive integer factors of 89367 that divides 89367 without a remainder.

1, 3, 29789

Step-4: Factors of 89373

List of positive integer factors of 89373 that divides 89367 without a remainder.

1, 3, 31, 93, 961, 2883, 29791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89367 and 89373. The biggest common factor number is the GCF number.
So the greatest common factor 89367 and 89373 is 3.

Also check out the Least Common Multiple of 89367 and 89373