What is the Greatest Common Factor of 89973 and 89991?

Greatest common factor (GCF) of 89973 and 89991 is 9.

GCF(89973,89991) = 9

We will now calculate the prime factors of 89973 and 89991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89973 and 89991.

How to find the GCF of 89973 and 89991?

We will first find the prime factorization of 89973 and 89991. After we will calculate the factors of 89973 and 89991 and find the biggest common factor number .

Step-1: Prime Factorization of 89973

Prime factors of 89973 are 3, 13, 769. Prime factorization of 89973 in exponential form is:

89973 = 3² × 13¹ × 769¹

Step-2: 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-3: Factors of 89973

List of positive integer factors of 89973 that divides 89973 without a remainder.

1, 3, 9, 13, 39, 117, 769, 2307, 6921, 9997, 29991

Step-4: Factors of 89991

List of positive integer factors of 89991 that divides 89973 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89973 and 89991. The biggest common factor number is the GCF number.
So the greatest common factor 89973 and 89991 is 9.

Also check out the Least Common Multiple of 89973 and 89991