What is the Greatest Common Factor of 55238 and 55256?

Greatest common factor (GCF) of 55238 and 55256 is 2.

GCF(55238,55256) = 2

We will now calculate the prime factors of 55238 and 55256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55238 and 55256.

How to find the GCF of 55238 and 55256?

We will first find the prime factorization of 55238 and 55256. After we will calculate the factors of 55238 and 55256 and find the biggest common factor number .

Step-1: Prime Factorization of 55238

Prime factors of 55238 are 2, 71, 389. Prime factorization of 55238 in exponential form is:

55238 = 2¹ × 71¹ × 389¹

Step-2: Prime Factorization of 55256

Prime factors of 55256 are 2, 6907. Prime factorization of 55256 in exponential form is:

55256 = 2³ × 6907¹

Step-3: Factors of 55238

List of positive integer factors of 55238 that divides 55238 without a remainder.

1, 2, 71, 142, 389, 778, 27619

Step-4: Factors of 55256

List of positive integer factors of 55256 that divides 55238 without a remainder.

1, 2, 4, 8, 6907, 13814, 27628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55238 and 55256. The biggest common factor number is the GCF number.
So the greatest common factor 55238 and 55256 is 2.

Also check out the Least Common Multiple of 55238 and 55256