What is the Greatest Common Factor of 89175 and 89184?

Greatest common factor (GCF) of 89175 and 89184 is 3.

GCF(89175,89184) = 3

We will now calculate the prime factors of 89175 and 89184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89175 and 89184.

How to find the GCF of 89175 and 89184?

We will first find the prime factorization of 89175 and 89184. After we will calculate the factors of 89175 and 89184 and find the biggest common factor number .

Step-1: Prime Factorization of 89175

Prime factors of 89175 are 3, 5, 29, 41. Prime factorization of 89175 in exponential form is:

89175 = 3¹ × 5² × 29¹ × 41¹

Step-2: Prime Factorization of 89184

Prime factors of 89184 are 2, 3, 929. Prime factorization of 89184 in exponential form is:

89184 = 2⁵ × 3¹ × 929¹

Step-3: Factors of 89175

List of positive integer factors of 89175 that divides 89175 without a remainder.

1, 3, 5, 15, 25, 29, 41, 75, 87, 123, 145, 205, 435, 615, 725, 1025, 1189, 2175, 3075, 3567, 5945, 17835, 29725

Step-4: Factors of 89184

List of positive integer factors of 89184 that divides 89175 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 929, 1858, 2787, 3716, 5574, 7432, 11148, 14864, 22296, 29728, 44592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89175 and 89184. The biggest common factor number is the GCF number.
So the greatest common factor 89175 and 89184 is 3.

Also check out the Least Common Multiple of 89175 and 89184