What is the Greatest Common Factor of 55796 and 55809?

Greatest common factor (GCF) of 55796 and 55809 is 13.

GCF(55796,55809) = 13

We will now calculate the prime factors of 55796 and 55809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55796 and 55809.

How to find the GCF of 55796 and 55809?

We will first find the prime factorization of 55796 and 55809. After we will calculate the factors of 55796 and 55809 and find the biggest common factor number .

Step-1: Prime Factorization of 55796

Prime factors of 55796 are 2, 13, 29, 37. Prime factorization of 55796 in exponential form is:

55796 = 2² × 13¹ × 29¹ × 37¹

Step-2: 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-3: Factors of 55796

List of positive integer factors of 55796 that divides 55796 without a remainder.

1, 2, 4, 13, 26, 29, 37, 52, 58, 74, 116, 148, 377, 481, 754, 962, 1073, 1508, 1924, 2146, 4292, 13949, 27898

Step-4: Factors of 55809

List of positive integer factors of 55809 that divides 55796 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55796 and 55809. The biggest common factor number is the GCF number.
So the greatest common factor 55796 and 55809 is 13.

Also check out the Least Common Multiple of 55796 and 55809