What is the Greatest Common Factor of 55424 and 55444?

Greatest common factor (GCF) of 55424 and 55444 is 4.

GCF(55424,55444) = 4

We will now calculate the prime factors of 55424 and 55444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55424 and 55444.

How to find the GCF of 55424 and 55444?

We will first find the prime factorization of 55424 and 55444. After we will calculate the factors of 55424 and 55444 and find the biggest common factor number .

Step-1: Prime Factorization of 55424

Prime factors of 55424 are 2, 433. Prime factorization of 55424 in exponential form is:

55424 = 2⁷ × 433¹

Step-2: Prime Factorization of 55444

Prime factors of 55444 are 2, 83, 167. Prime factorization of 55444 in exponential form is:

55444 = 2² × 83¹ × 167¹

Step-3: Factors of 55424

List of positive integer factors of 55424 that divides 55424 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 433, 866, 1732, 3464, 6928, 13856, 27712

Step-4: Factors of 55444

List of positive integer factors of 55444 that divides 55424 without a remainder.

1, 2, 4, 83, 166, 167, 332, 334, 668, 13861, 27722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55424 and 55444. The biggest common factor number is the GCF number.
So the greatest common factor 55424 and 55444 is 4.

Also check out the Least Common Multiple of 55424 and 55444