What is the Greatest Common Factor of 73824 and 73833?

Greatest common factor (GCF) of 73824 and 73833 is 3.

GCF(73824,73833) = 3

We will now calculate the prime factors of 73824 and 73833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73824 and 73833.

How to find the GCF of 73824 and 73833?

We will first find the prime factorization of 73824 and 73833. After we will calculate the factors of 73824 and 73833 and find the biggest common factor number .

Step-1: Prime Factorization of 73824

Prime factors of 73824 are 2, 3, 769. Prime factorization of 73824 in exponential form is:

73824 = 2⁵ × 3¹ × 769¹

Step-2: Prime Factorization of 73833

Prime factors of 73833 are 3, 24611. Prime factorization of 73833 in exponential form is:

73833 = 3¹ × 24611¹

Step-3: Factors of 73824

List of positive integer factors of 73824 that divides 73824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 769, 1538, 2307, 3076, 4614, 6152, 9228, 12304, 18456, 24608, 36912

Step-4: Factors of 73833

List of positive integer factors of 73833 that divides 73824 without a remainder.

1, 3, 24611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73824 and 73833. The biggest common factor number is the GCF number.
So the greatest common factor 73824 and 73833 is 3.

Also check out the Least Common Multiple of 73824 and 73833