What is the Greatest Common Factor of 55856 and 55876?

Greatest common factor (GCF) of 55856 and 55876 is 4.

GCF(55856,55876) = 4

We will now calculate the prime factors of 55856 and 55876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55856 and 55876.

How to find the GCF of 55856 and 55876?

We will first find the prime factorization of 55856 and 55876. After we will calculate the factors of 55856 and 55876 and find the biggest common factor number .

Step-1: Prime Factorization of 55856

Prime factors of 55856 are 2, 3491. Prime factorization of 55856 in exponential form is:

55856 = 2⁴ × 3491¹

Step-2: Prime Factorization of 55876

Prime factors of 55876 are 2, 61, 229. Prime factorization of 55876 in exponential form is:

55876 = 2² × 61¹ × 229¹

Step-3: Factors of 55856

List of positive integer factors of 55856 that divides 55856 without a remainder.

1, 2, 4, 8, 16, 3491, 6982, 13964, 27928

Step-4: Factors of 55876

List of positive integer factors of 55876 that divides 55856 without a remainder.

1, 2, 4, 61, 122, 229, 244, 458, 916, 13969, 27938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55856 and 55876. The biggest common factor number is the GCF number.
So the greatest common factor 55856 and 55876 is 4.

Also check out the Least Common Multiple of 55856 and 55876