What is the Greatest Common Factor of 89355 and 89365?

Greatest common factor (GCF) of 89355 and 89365 is 5.

GCF(89355,89365) = 5

We will now calculate the prime factors of 89355 and 89365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89355 and 89365.

How to find the GCF of 89355 and 89365?

We will first find the prime factorization of 89355 and 89365. After we will calculate the factors of 89355 and 89365 and find the biggest common factor number .

Step-1: Prime Factorization of 89355

Prime factors of 89355 are 3, 5, 7, 23, 37. Prime factorization of 89355 in exponential form is:

89355 = 3¹ × 5¹ × 7¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 89355

List of positive integer factors of 89355 that divides 89355 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 37, 69, 105, 111, 115, 161, 185, 259, 345, 483, 555, 777, 805, 851, 1295, 2415, 2553, 3885, 4255, 5957, 12765, 17871, 29785

Step-4: Factors of 89365

List of positive integer factors of 89365 that divides 89355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89355 and 89365. The biggest common factor number is the GCF number.
So the greatest common factor 89355 and 89365 is 5.

Also check out the Least Common Multiple of 89355 and 89365