What is the Greatest Common Factor of 55228 and 55246?

Greatest common factor (GCF) of 55228 and 55246 is 2.

GCF(55228,55246) = 2

We will now calculate the prime factors of 55228 and 55246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55228 and 55246.

How to find the GCF of 55228 and 55246?

We will first find the prime factorization of 55228 and 55246. After we will calculate the factors of 55228 and 55246 and find the biggest common factor number .

Step-1: Prime Factorization of 55228

Prime factors of 55228 are 2, 13807. Prime factorization of 55228 in exponential form is:

55228 = 2² × 13807¹

Step-2: Prime Factorization of 55246

Prime factors of 55246 are 2, 23, 1201. Prime factorization of 55246 in exponential form is:

55246 = 2¹ × 23¹ × 1201¹

Step-3: Factors of 55228

List of positive integer factors of 55228 that divides 55228 without a remainder.

1, 2, 4, 13807, 27614

Step-4: Factors of 55246

List of positive integer factors of 55246 that divides 55228 without a remainder.

1, 2, 23, 46, 1201, 2402, 27623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55228 and 55246. The biggest common factor number is the GCF number.
So the greatest common factor 55228 and 55246 is 2.

Also check out the Least Common Multiple of 55228 and 55246