What is the Greatest Common Factor of 89997 and 90012?

Greatest common factor (GCF) of 89997 and 90012 is 3.

GCF(89997,90012) = 3

We will now calculate the prime factors of 89997 and 90012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89997 and 90012.

How to find the GCF of 89997 and 90012?

We will first find the prime factorization of 89997 and 90012. After we will calculate the factors of 89997 and 90012 and find the biggest common factor number .

Step-1: Prime Factorization of 89997

Prime factors of 89997 are 3, 131, 229. Prime factorization of 89997 in exponential form is:

89997 = 3¹ × 131¹ × 229¹

Step-2: Prime Factorization of 90012

Prime factors of 90012 are 2, 3, 13, 577. Prime factorization of 90012 in exponential form is:

90012 = 2² × 3¹ × 13¹ × 577¹

Step-3: Factors of 89997

List of positive integer factors of 89997 that divides 89997 without a remainder.

1, 3, 131, 229, 393, 687, 29999

Step-4: Factors of 90012

List of positive integer factors of 90012 that divides 89997 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 577, 1154, 1731, 2308, 3462, 6924, 7501, 15002, 22503, 30004, 45006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89997 and 90012. The biggest common factor number is the GCF number.
So the greatest common factor 89997 and 90012 is 3.

Also check out the Least Common Multiple of 89997 and 90012