What is the Greatest Common Factor of 55456 and 55468?

Greatest common factor (GCF) of 55456 and 55468 is 4.

GCF(55456,55468) = 4

We will now calculate the prime factors of 55456 and 55468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55456 and 55468.

How to find the GCF of 55456 and 55468?

We will first find the prime factorization of 55456 and 55468. After we will calculate the factors of 55456 and 55468 and find the biggest common factor number .

Step-1: Prime Factorization of 55456

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

55456 = 2⁵ × 1733¹

Step-2: Prime Factorization of 55468

Prime factors of 55468 are 2, 7, 283. Prime factorization of 55468 in exponential form is:

55468 = 2² × 7² × 283¹

Step-3: Factors of 55456

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

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

Step-4: Factors of 55468

List of positive integer factors of 55468 that divides 55456 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 283, 566, 1132, 1981, 3962, 7924, 13867, 27734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55456 and 55468. The biggest common factor number is the GCF number.
So the greatest common factor 55456 and 55468 is 4.

Also check out the Least Common Multiple of 55456 and 55468