What is the Greatest Common Factor of 89997 and 90009?

Greatest common factor (GCF) of 89997 and 90009 is 3.

GCF(89997,90009) = 3

We will now calculate the prime factors of 89997 and 90009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89997 and 90009.

How to find the GCF of 89997 and 90009?

We will first find the prime factorization of 89997 and 90009. After we will calculate the factors of 89997 and 90009 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 90009

Prime factors of 90009 are 3, 73, 137. Prime factorization of 90009 in exponential form is:

90009 = 3² × 73¹ × 137¹

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 90009

List of positive integer factors of 90009 that divides 89997 without a remainder.

1, 3, 9, 73, 137, 219, 411, 657, 1233, 10001, 30003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89997 and 90009. The biggest common factor number is the GCF number.
So the greatest common factor 89997 and 90009 is 3.

Also check out the Least Common Multiple of 89997 and 90009