What is the Greatest Common Factor of 55214 and 55228?

Greatest common factor (GCF) of 55214 and 55228 is 2.

GCF(55214,55228) = 2

We will now calculate the prime factors of 55214 and 55228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55214 and 55228.

How to find the GCF of 55214 and 55228?

We will first find the prime factorization of 55214 and 55228. After we will calculate the factors of 55214 and 55228 and find the biggest common factor number .

Step-1: Prime Factorization of 55214

Prime factors of 55214 are 2, 19, 1453. Prime factorization of 55214 in exponential form is:

55214 = 2¹ × 19¹ × 1453¹

Step-2: Prime Factorization of 55228

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

55228 = 2² × 13807¹

Step-3: Factors of 55214

List of positive integer factors of 55214 that divides 55214 without a remainder.

1, 2, 19, 38, 1453, 2906, 27607

Step-4: Factors of 55228

List of positive integer factors of 55228 that divides 55214 without a remainder.

1, 2, 4, 13807, 27614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55214 and 55228. The biggest common factor number is the GCF number.
So the greatest common factor 55214 and 55228 is 2.

Also check out the Least Common Multiple of 55214 and 55228