What is the Greatest Common Factor of 55424 and 55438?

Greatest common factor (GCF) of 55424 and 55438 is 2.

GCF(55424,55438) = 2

We will now calculate the prime factors of 55424 and 55438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55424 and 55438.

How to find the GCF of 55424 and 55438?

We will first find the prime factorization of 55424 and 55438. After we will calculate the factors of 55424 and 55438 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 55438

Prime factors of 55438 are 2, 53, 523. Prime factorization of 55438 in exponential form is:

55438 = 2¹ × 53¹ × 523¹

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 55438

List of positive integer factors of 55438 that divides 55424 without a remainder.

1, 2, 53, 106, 523, 1046, 27719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55424 and 55438. The biggest common factor number is the GCF number.
So the greatest common factor 55424 and 55438 is 2.

Also check out the Least Common Multiple of 55424 and 55438