What is the Greatest Common Factor of 89184 and 89196?

Greatest common factor (GCF) of 89184 and 89196 is 12.

GCF(89184,89196) = 12

We will now calculate the prime factors of 89184 and 89196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89184 and 89196.

How to find the GCF of 89184 and 89196?

We will first find the prime factorization of 89184 and 89196. After we will calculate the factors of 89184 and 89196 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89196

Prime factors of 89196 are 2, 3, 7433. Prime factorization of 89196 in exponential form is:

89196 = 2² × 3¹ × 7433¹

Step-3: Factors of 89184

List of positive integer factors of 89184 that divides 89184 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

Step-4: Factors of 89196

List of positive integer factors of 89196 that divides 89184 without a remainder.

1, 2, 3, 4, 6, 12, 7433, 14866, 22299, 29732, 44598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89184 and 89196. The biggest common factor number is the GCF number.
So the greatest common factor 89184 and 89196 is 12.

Also check out the Least Common Multiple of 89184 and 89196