What is the Greatest Common Factor of 55809 and 55824?

Greatest common factor (GCF) of 55809 and 55824 is 3.

GCF(55809,55824) = 3

We will now calculate the prime factors of 55809 and 55824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55809 and 55824.

How to find the GCF of 55809 and 55824?

We will first find the prime factorization of 55809 and 55824. After we will calculate the factors of 55809 and 55824 and find the biggest common factor number .

Step-1: Prime Factorization of 55809

Prime factors of 55809 are 3, 13, 53. Prime factorization of 55809 in exponential form is:

55809 = 3⁴ × 13¹ × 53¹

Step-2: 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-3: Factors of 55809

List of positive integer factors of 55809 that divides 55809 without a remainder.

1, 3, 9, 13, 27, 39, 53, 81, 117, 159, 351, 477, 689, 1053, 1431, 2067, 4293, 6201, 18603

Step-4: Factors of 55824

List of positive integer factors of 55824 that divides 55809 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55809 and 55824. The biggest common factor number is the GCF number.
So the greatest common factor 55809 and 55824 is 3.

Also check out the Least Common Multiple of 55809 and 55824