What is the Greatest Common Factor of 89205 and 89224?

Greatest common factor (GCF) of 89205 and 89224 is 19.

GCF(89205,89224) = 19

We will now calculate the prime factors of 89205 and 89224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89205 and 89224.

How to find the GCF of 89205 and 89224?

We will first find the prime factorization of 89205 and 89224. After we will calculate the factors of 89205 and 89224 and find the biggest common factor number .

Step-1: Prime Factorization of 89205

Prime factors of 89205 are 3, 5, 19, 313. Prime factorization of 89205 in exponential form is:

89205 = 3¹ × 5¹ × 19¹ × 313¹

Step-2: Prime Factorization of 89224

Prime factors of 89224 are 2, 19, 587. Prime factorization of 89224 in exponential form is:

89224 = 2³ × 19¹ × 587¹

Step-3: Factors of 89205

List of positive integer factors of 89205 that divides 89205 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 313, 939, 1565, 4695, 5947, 17841, 29735

Step-4: Factors of 89224

List of positive integer factors of 89224 that divides 89205 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 587, 1174, 2348, 4696, 11153, 22306, 44612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89205 and 89224. The biggest common factor number is the GCF number.
So the greatest common factor 89205 and 89224 is 19.

Also check out the Least Common Multiple of 89205 and 89224