What is the Greatest Common Factor of 89365 and 89380?

Greatest common factor (GCF) of 89365 and 89380 is 5.

GCF(89365,89380) = 5

We will now calculate the prime factors of 89365 and 89380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89365 and 89380.

How to find the GCF of 89365 and 89380?

We will first find the prime factorization of 89365 and 89380. After we will calculate the factors of 89365 and 89380 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 89380

Prime factors of 89380 are 2, 5, 41, 109. Prime factorization of 89380 in exponential form is:

89380 = 2² × 5¹ × 41¹ × 109¹

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 89380

List of positive integer factors of 89380 that divides 89365 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 109, 164, 205, 218, 410, 436, 545, 820, 1090, 2180, 4469, 8938, 17876, 22345, 44690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89365 and 89380. The biggest common factor number is the GCF number.
So the greatest common factor 89365 and 89380 is 5.

Also check out the Least Common Multiple of 89365 and 89380