What is the Greatest Common Factor of 55238 and 55252?

Greatest common factor (GCF) of 55238 and 55252 is 2.

GCF(55238,55252) = 2

We will now calculate the prime factors of 55238 and 55252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55238 and 55252.

How to find the GCF of 55238 and 55252?

We will first find the prime factorization of 55238 and 55252. After we will calculate the factors of 55238 and 55252 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 55252

Prime factors of 55252 are 2, 19, 727. Prime factorization of 55252 in exponential form is:

55252 = 2² × 19¹ × 727¹

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 55252

List of positive integer factors of 55252 that divides 55238 without a remainder.

1, 2, 4, 19, 38, 76, 727, 1454, 2908, 13813, 27626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55238 and 55252. The biggest common factor number is the GCF number.
So the greatest common factor 55238 and 55252 is 2.

Also check out the Least Common Multiple of 55238 and 55252