What is the Greatest Common Factor of 89289 and 89293?

Greatest common factor (GCF) of 89289 and 89293 is 1.

GCF(89289,89293) = 1

We will now calculate the prime factors of 89289 and 89293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89289 and 89293.

How to find the GCF of 89289 and 89293?

We will first find the prime factorization of 89289 and 89293. After we will calculate the factors of 89289 and 89293 and find the biggest common factor number .

Step-1: Prime Factorization of 89289

Prime factors of 89289 are 3, 3307. Prime factorization of 89289 in exponential form is:

89289 = 3³ × 3307¹

Step-2: Prime Factorization of 89293

Prime factors of 89293 are 89293. Prime factorization of 89293 in exponential form is:

89293 = 89293¹

Step-3: Factors of 89289

List of positive integer factors of 89289 that divides 89289 without a remainder.

1, 3, 9, 27, 3307, 9921, 29763

Step-4: Factors of 89293

List of positive integer factors of 89293 that divides 89289 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89289 and 89293. The biggest common factor number is the GCF number.
So the greatest common factor 89289 and 89293 is 1.

Also check out the Least Common Multiple of 89289 and 89293