What is the Greatest Common Factor of 55184 and 55192?

Greatest common factor (GCF) of 55184 and 55192 is 8.

GCF(55184,55192) = 8

We will now calculate the prime factors of 55184 and 55192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55184 and 55192.

How to find the GCF of 55184 and 55192?

We will first find the prime factorization of 55184 and 55192. After we will calculate the factors of 55184 and 55192 and find the biggest common factor number .

Step-1: Prime Factorization of 55184

Prime factors of 55184 are 2, 3449. Prime factorization of 55184 in exponential form is:

55184 = 2⁴ × 3449¹

Step-2: Prime Factorization of 55192

Prime factors of 55192 are 2, 6899. Prime factorization of 55192 in exponential form is:

55192 = 2³ × 6899¹

Step-3: Factors of 55184

List of positive integer factors of 55184 that divides 55184 without a remainder.

1, 2, 4, 8, 16, 3449, 6898, 13796, 27592

Step-4: Factors of 55192

List of positive integer factors of 55192 that divides 55184 without a remainder.

1, 2, 4, 8, 6899, 13798, 27596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55184 and 55192. The biggest common factor number is the GCF number.
So the greatest common factor 55184 and 55192 is 8.

Also check out the Least Common Multiple of 55184 and 55192