What is the Greatest Common Factor of 55448 and 55456?

Greatest common factor (GCF) of 55448 and 55456 is 8.

GCF(55448,55456) = 8

We will now calculate the prime factors of 55448 and 55456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55448 and 55456.

How to find the GCF of 55448 and 55456?

We will first find the prime factorization of 55448 and 55456. After we will calculate the factors of 55448 and 55456 and find the biggest common factor number .

Step-1: Prime Factorization of 55448

Prime factors of 55448 are 2, 29, 239. Prime factorization of 55448 in exponential form is:

55448 = 2³ × 29¹ × 239¹

Step-2: Prime Factorization of 55456

Prime factors of 55456 are 2, 1733. Prime factorization of 55456 in exponential form is:

55456 = 2⁵ × 1733¹

Step-3: Factors of 55448

List of positive integer factors of 55448 that divides 55448 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 239, 478, 956, 1912, 6931, 13862, 27724

Step-4: Factors of 55456

List of positive integer factors of 55456 that divides 55448 without a remainder.

1, 2, 4, 8, 16, 32, 1733, 3466, 6932, 13864, 27728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55448 and 55456. The biggest common factor number is the GCF number.
So the greatest common factor 55448 and 55456 is 8.

Also check out the Least Common Multiple of 55448 and 55456