What is the Greatest Common Factor of 55936 and 55955?

Greatest common factor (GCF) of 55936 and 55955 is 19.

GCF(55936,55955) = 19

We will now calculate the prime factors of 55936 and 55955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55936 and 55955.

How to find the GCF of 55936 and 55955?

We will first find the prime factorization of 55936 and 55955. After we will calculate the factors of 55936 and 55955 and find the biggest common factor number .

Step-1: Prime Factorization of 55936

Prime factors of 55936 are 2, 19, 23. Prime factorization of 55936 in exponential form is:

55936 = 2⁷ × 19¹ × 23¹

Step-2: Prime Factorization of 55955

Prime factors of 55955 are 5, 19, 31. Prime factorization of 55955 in exponential form is:

55955 = 5¹ × 19² × 31¹

Step-3: Factors of 55936

List of positive integer factors of 55936 that divides 55936 without a remainder.

1, 2, 4, 8, 16, 19, 23, 32, 38, 46, 64, 76, 92, 128, 152, 184, 304, 368, 437, 608, 736, 874, 1216, 1472, 1748, 2432, 2944, 3496, 6992, 13984, 27968

Step-4: Factors of 55955

List of positive integer factors of 55955 that divides 55936 without a remainder.

1, 5, 19, 31, 95, 155, 361, 589, 1805, 2945, 11191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55936 and 55955. The biggest common factor number is the GCF number.
So the greatest common factor 55936 and 55955 is 19.

Also check out the Least Common Multiple of 55936 and 55955