What is the Greatest Common Factor of 55835 and 55848?

Greatest common factor (GCF) of 55835 and 55848 is 13.

GCF(55835,55848) = 13

We will now calculate the prime factors of 55835 and 55848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55835 and 55848.

How to find the GCF of 55835 and 55848?

We will first find the prime factorization of 55835 and 55848. After we will calculate the factors of 55835 and 55848 and find the biggest common factor number .

Step-1: Prime Factorization of 55835

Prime factors of 55835 are 5, 13, 859. Prime factorization of 55835 in exponential form is:

55835 = 5¹ × 13¹ × 859¹

Step-2: 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-3: Factors of 55835

List of positive integer factors of 55835 that divides 55835 without a remainder.

1, 5, 13, 65, 859, 4295, 11167

Step-4: Factors of 55848

List of positive integer factors of 55848 that divides 55835 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55835 and 55848. The biggest common factor number is the GCF number.
So the greatest common factor 55835 and 55848 is 13.

Also check out the Least Common Multiple of 55835 and 55848