What is the Greatest Common Factor of 89997 and 90015?

Greatest common factor (GCF) of 89997 and 90015 is 3.

GCF(89997,90015) = 3

We will now calculate the prime factors of 89997 and 90015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89997 and 90015.

How to find the GCF of 89997 and 90015?

We will first find the prime factorization of 89997 and 90015. After we will calculate the factors of 89997 and 90015 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 90015

Prime factors of 90015 are 3, 5, 17, 353. Prime factorization of 90015 in exponential form is:

90015 = 3¹ × 5¹ × 17¹ × 353¹

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 90015

List of positive integer factors of 90015 that divides 89997 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 353, 1059, 1765, 5295, 6001, 18003, 30005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89997 and 90015. The biggest common factor number is the GCF number.
So the greatest common factor 89997 and 90015 is 3.

Also check out the Least Common Multiple of 89997 and 90015