What is the Greatest Common Factor of 55809 and 55815?

Greatest common factor (GCF) of 55809 and 55815 is 3.

GCF(55809,55815) = 3

We will now calculate the prime factors of 55809 and 55815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55809 and 55815.

How to find the GCF of 55809 and 55815?

We will first find the prime factorization of 55809 and 55815. After we will calculate the factors of 55809 and 55815 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 55815

Prime factors of 55815 are 3, 5, 61. Prime factorization of 55815 in exponential form is:

55815 = 3¹ × 5¹ × 61²

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 55815

List of positive integer factors of 55815 that divides 55809 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915, 3721, 11163, 18605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55809 and 55815. The biggest common factor number is the GCF number.
So the greatest common factor 55809 and 55815 is 3.

Also check out the Least Common Multiple of 55809 and 55815