What is the Greatest Common Factor of 89373 and 89384?

Greatest common factor (GCF) of 89373 and 89384 is 1.

GCF(89373,89384) = 1

We will now calculate the prime factors of 89373 and 89384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89373 and 89384.

How to find the GCF of 89373 and 89384?

We will first find the prime factorization of 89373 and 89384. After we will calculate the factors of 89373 and 89384 and find the biggest common factor number .

Step-1: Prime Factorization of 89373

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

89373 = 3¹ × 31³

Step-2: Prime Factorization of 89384

Prime factors of 89384 are 2, 11173. Prime factorization of 89384 in exponential form is:

89384 = 2³ × 11173¹

Step-3: Factors of 89373

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

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

Step-4: Factors of 89384

List of positive integer factors of 89384 that divides 89373 without a remainder.

1, 2, 4, 8, 11173, 22346, 44692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89373 and 89384. The biggest common factor number is the GCF number.
So the greatest common factor 89373 and 89384 is 1.

Also check out the Least Common Multiple of 89373 and 89384