What is the Greatest Common Factor of 91809 and 91821?

Greatest common factor (GCF) of 91809 and 91821 is 3.

GCF(91809,91821) = 3

We will now calculate the prime factors of 91809 and 91821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91809 and 91821.

How to find the GCF of 91809 and 91821?

We will first find the prime factorization of 91809 and 91821. After we will calculate the factors of 91809 and 91821 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 91821

Prime factors of 91821 are 3, 127, 241. Prime factorization of 91821 in exponential form is:

91821 = 3¹ × 127¹ × 241¹

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 91821

List of positive integer factors of 91821 that divides 91809 without a remainder.

1, 3, 127, 241, 381, 723, 30607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91809 and 91821. The biggest common factor number is the GCF number.
So the greatest common factor 91809 and 91821 is 3.

Also check out the Least Common Multiple of 91809 and 91821