What is the Greatest Common Factor of 55848 and 55861?

Greatest common factor (GCF) of 55848 and 55861 is 13.

GCF(55848,55861) = 13

We will now calculate the prime factors of 55848 and 55861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55848 and 55861.

How to find the GCF of 55848 and 55861?

We will first find the prime factorization of 55848 and 55861. After we will calculate the factors of 55848 and 55861 and find the biggest common factor number .

Step-1: Prime Factorization of 55848

Prime factors of 55848 are 2, 3, 13, 179. Prime factorization of 55848 in exponential form is:

55848 = 2³ × 3¹ × 13¹ × 179¹

Step-2: Prime Factorization of 55861

Prime factors of 55861 are 13, 4297. Prime factorization of 55861 in exponential form is:

55861 = 13¹ × 4297¹

Step-3: Factors of 55848

List of positive integer factors of 55848 that divides 55848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 179, 312, 358, 537, 716, 1074, 1432, 2148, 2327, 4296, 4654, 6981, 9308, 13962, 18616, 27924

Step-4: Factors of 55861

List of positive integer factors of 55861 that divides 55848 without a remainder.

1, 13, 4297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55848 and 55861. The biggest common factor number is the GCF number.
So the greatest common factor 55848 and 55861 is 13.

Also check out the Least Common Multiple of 55848 and 55861