What is the Greatest Common Factor of 89991 and 90001?

Greatest common factor (GCF) of 89991 and 90001 is 1.

GCF(89991,90001) = 1

We will now calculate the prime factors of 89991 and 90001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89991 and 90001.

How to find the GCF of 89991 and 90001?

We will first find the prime factorization of 89991 and 90001. After we will calculate the factors of 89991 and 90001 and find the biggest common factor number .

Step-1: Prime Factorization of 89991

Prime factors of 89991 are 3, 11, 101. Prime factorization of 89991 in exponential form is:

89991 = 3⁴ × 11¹ × 101¹

Step-2: Prime Factorization of 90001

Prime factors of 90001 are 90001. Prime factorization of 90001 in exponential form is:

90001 = 90001¹

Step-3: Factors of 89991

List of positive integer factors of 89991 that divides 89991 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 101, 297, 303, 891, 909, 1111, 2727, 3333, 8181, 9999, 29997

Step-4: Factors of 90001

List of positive integer factors of 90001 that divides 89991 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89991 and 90001. The biggest common factor number is the GCF number.
So the greatest common factor 89991 and 90001 is 1.

Also check out the Least Common Multiple of 89991 and 90001