What is the Greatest Common Factor of 55824 and 55833?

Greatest common factor (GCF) of 55824 and 55833 is 3.

GCF(55824,55833) = 3

We will now calculate the prime factors of 55824 and 55833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55824 and 55833.

How to find the GCF of 55824 and 55833?

We will first find the prime factorization of 55824 and 55833. After we will calculate the factors of 55824 and 55833 and find the biggest common factor number .

Step-1: Prime Factorization of 55824

Prime factors of 55824 are 2, 3, 1163. Prime factorization of 55824 in exponential form is:

55824 = 2⁴ × 3¹ × 1163¹

Step-2: Prime Factorization of 55833

Prime factors of 55833 are 3, 37, 503. Prime factorization of 55833 in exponential form is:

55833 = 3¹ × 37¹ × 503¹

Step-3: Factors of 55824

List of positive integer factors of 55824 that divides 55824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1163, 2326, 3489, 4652, 6978, 9304, 13956, 18608, 27912

Step-4: Factors of 55833

List of positive integer factors of 55833 that divides 55824 without a remainder.

1, 3, 37, 111, 503, 1509, 18611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55824 and 55833. The biggest common factor number is the GCF number.
So the greatest common factor 55824 and 55833 is 3.

Also check out the Least Common Multiple of 55824 and 55833