What is the Greatest Common Factor of 89358 and 89365?

Greatest common factor (GCF) of 89358 and 89365 is 1.

GCF(89358,89365) = 1

We will now calculate the prime factors of 89358 and 89365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89358 and 89365.

How to find the GCF of 89358 and 89365?

We will first find the prime factorization of 89358 and 89365. After we will calculate the factors of 89358 and 89365 and find the biggest common factor number .

Step-1: Prime Factorization of 89358

Prime factors of 89358 are 2, 3, 53, 281. Prime factorization of 89358 in exponential form is:

89358 = 2¹ × 3¹ × 53¹ × 281¹

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 89358

List of positive integer factors of 89358 that divides 89358 without a remainder.

1, 2, 3, 6, 53, 106, 159, 281, 318, 562, 843, 1686, 14893, 29786, 44679

Step-4: Factors of 89365

List of positive integer factors of 89365 that divides 89358 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89358 and 89365. The biggest common factor number is the GCF number.
So the greatest common factor 89358 and 89365 is 1.

Also check out the Least Common Multiple of 89358 and 89365