What is the Greatest Common Factor of 91809 and 91824?

Greatest common factor (GCF) of 91809 and 91824 is 3.

GCF(91809,91824) = 3

We will now calculate the prime factors of 91809 and 91824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91809 and 91824.

How to find the GCF of 91809 and 91824?

We will first find the prime factorization of 91809 and 91824. After we will calculate the factors of 91809 and 91824 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 91824

Prime factors of 91824 are 2, 3, 1913. Prime factorization of 91824 in exponential form is:

91824 = 2⁴ × 3¹ × 1913¹

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 91824

List of positive integer factors of 91824 that divides 91809 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1913, 3826, 5739, 7652, 11478, 15304, 22956, 30608, 45912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91809 and 91824. The biggest common factor number is the GCF number.
So the greatest common factor 91809 and 91824 is 3.

Also check out the Least Common Multiple of 91809 and 91824