What is the Greatest Common Factor of 91809 and 91827?

Greatest common factor (GCF) of 91809 and 91827 is 9.

GCF(91809,91827) = 9

We will now calculate the prime factors of 91809 and 91827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91809 and 91827.

How to find the GCF of 91809 and 91827?

We will first find the prime factorization of 91809 and 91827. After we will calculate the factors of 91809 and 91827 and find the biggest common factor number .

Step-1: Prime Factorization of 91809

Prime factors of 91809 are 3, 101. Prime factorization of 91809 in exponential form is:

91809 = 3² × 101²

Step-2: Prime Factorization of 91827

Prime factors of 91827 are 3, 19, 179. Prime factorization of 91827 in exponential form is:

91827 = 3³ × 19¹ × 179¹

Step-3: Factors of 91809

List of positive integer factors of 91809 that divides 91809 without a remainder.

1, 3, 9, 101, 303, 909, 10201, 30603

Step-4: Factors of 91827

List of positive integer factors of 91827 that divides 91809 without a remainder.

1, 3, 9, 19, 27, 57, 171, 179, 513, 537, 1611, 3401, 4833, 10203, 30609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91809 and 91827. The biggest common factor number is the GCF number.
So the greatest common factor 91809 and 91827 is 9.

Also check out the Least Common Multiple of 91809 and 91827