What is the Greatest Common Factor of 55084 and 55088?

Greatest common factor (GCF) of 55084 and 55088 is 4.

GCF(55084,55088) = 4

We will now calculate the prime factors of 55084 and 55088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55084 and 55088.

How to find the GCF of 55084 and 55088?

We will first find the prime factorization of 55084 and 55088. After we will calculate the factors of 55084 and 55088 and find the biggest common factor number .

Step-1: Prime Factorization of 55084

Prime factors of 55084 are 2, 47, 293. Prime factorization of 55084 in exponential form is:

55084 = 2² × 47¹ × 293¹

Step-2: Prime Factorization of 55088

Prime factors of 55088 are 2, 11, 313. Prime factorization of 55088 in exponential form is:

55088 = 2⁴ × 11¹ × 313¹

Step-3: Factors of 55084

List of positive integer factors of 55084 that divides 55084 without a remainder.

1, 2, 4, 47, 94, 188, 293, 586, 1172, 13771, 27542

Step-4: Factors of 55088

List of positive integer factors of 55088 that divides 55084 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 313, 626, 1252, 2504, 3443, 5008, 6886, 13772, 27544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55084 and 55088. The biggest common factor number is the GCF number.
So the greatest common factor 55084 and 55088 is 4.

Also check out the Least Common Multiple of 55084 and 55088