What is the Greatest Common Factor of 55220 and 55238?

Greatest common factor (GCF) of 55220 and 55238 is 2.

GCF(55220,55238) = 2

We will now calculate the prime factors of 55220 and 55238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55220 and 55238.

How to find the GCF of 55220 and 55238?

We will first find the prime factorization of 55220 and 55238. After we will calculate the factors of 55220 and 55238 and find the biggest common factor number .

Step-1: Prime Factorization of 55220

Prime factors of 55220 are 2, 5, 11, 251. Prime factorization of 55220 in exponential form is:

55220 = 2² × 5¹ × 11¹ × 251¹

Step-2: 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-3: Factors of 55220

List of positive integer factors of 55220 that divides 55220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 251, 502, 1004, 1255, 2510, 2761, 5020, 5522, 11044, 13805, 27610

Step-4: Factors of 55238

List of positive integer factors of 55238 that divides 55220 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55220 and 55238. The biggest common factor number is the GCF number.
So the greatest common factor 55220 and 55238 is 2.

Also check out the Least Common Multiple of 55220 and 55238