What is the Greatest Common Factor of 55184 and 55204?

Greatest common factor (GCF) of 55184 and 55204 is 4.

GCF(55184,55204) = 4

We will now calculate the prime factors of 55184 and 55204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55184 and 55204.

How to find the GCF of 55184 and 55204?

We will first find the prime factorization of 55184 and 55204. After we will calculate the factors of 55184 and 55204 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 55204

Prime factors of 55204 are 2, 37, 373. Prime factorization of 55204 in exponential form is:

55204 = 2² × 37¹ × 373¹

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 55204

List of positive integer factors of 55204 that divides 55184 without a remainder.

1, 2, 4, 37, 74, 148, 373, 746, 1492, 13801, 27602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55184 and 55204. The biggest common factor number is the GCF number.
So the greatest common factor 55184 and 55204 is 4.

Also check out the Least Common Multiple of 55184 and 55204