What is the Greatest Common Factor of 89365 and 89385?

Greatest common factor (GCF) of 89365 and 89385 is 5.

GCF(89365,89385) = 5

We will now calculate the prime factors of 89365 and 89385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89365 and 89385.

How to find the GCF of 89365 and 89385?

We will first find the prime factorization of 89365 and 89385. After we will calculate the factors of 89365 and 89385 and find the biggest common factor number .

Step-1: Prime Factorization of 89365

Prime factors of 89365 are 5, 61, 293. Prime factorization of 89365 in exponential form is:

89365 = 5¹ × 61¹ × 293¹

Step-2: Prime Factorization of 89385

Prime factors of 89385 are 3, 5, 59, 101. Prime factorization of 89385 in exponential form is:

89385 = 3¹ × 5¹ × 59¹ × 101¹

Step-3: Factors of 89365

List of positive integer factors of 89365 that divides 89365 without a remainder.

1, 5, 61, 293, 305, 1465, 17873

Step-4: Factors of 89385

List of positive integer factors of 89385 that divides 89365 without a remainder.

1, 3, 5, 15, 59, 101, 177, 295, 303, 505, 885, 1515, 5959, 17877, 29795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89365 and 89385. The biggest common factor number is the GCF number.
So the greatest common factor 89365 and 89385 is 5.

Also check out the Least Common Multiple of 89365 and 89385