What is the Greatest Common Factor of 55278 and 55288?

Greatest common factor (GCF) of 55278 and 55288 is 2.

GCF(55278,55288) = 2

We will now calculate the prime factors of 55278 and 55288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55278 and 55288.

How to find the GCF of 55278 and 55288?

We will first find the prime factorization of 55278 and 55288. After we will calculate the factors of 55278 and 55288 and find the biggest common factor number .

Step-1: Prime Factorization of 55278

Prime factors of 55278 are 2, 3, 37, 83. Prime factorization of 55278 in exponential form is:

55278 = 2¹ × 3² × 37¹ × 83¹

Step-2: Prime Factorization of 55288

Prime factors of 55288 are 2, 6911. Prime factorization of 55288 in exponential form is:

55288 = 2³ × 6911¹

Step-3: Factors of 55278

List of positive integer factors of 55278 that divides 55278 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 83, 111, 166, 222, 249, 333, 498, 666, 747, 1494, 3071, 6142, 9213, 18426, 27639

Step-4: Factors of 55288

List of positive integer factors of 55288 that divides 55278 without a remainder.

1, 2, 4, 8, 6911, 13822, 27644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55278 and 55288. The biggest common factor number is the GCF number.
So the greatest common factor 55278 and 55288 is 2.

Also check out the Least Common Multiple of 55278 and 55288