What is the Greatest Common Factor of 7184 and 7204?

Greatest common factor (GCF) of 7184 and 7204 is 4.

GCF(7184,7204) = 4

We will now calculate the prime factors of 7184 and 7204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7184 and 7204.

How to find the GCF of 7184 and 7204?

We will first find the prime factorization of 7184 and 7204. After we will calculate the factors of 7184 and 7204 and find the biggest common factor number .

Step-1: Prime Factorization of 7184

Prime factors of 7184 are 2, 449. Prime factorization of 7184 in exponential form is:

7184 = 2⁴ × 449¹

Step-2: Prime Factorization of 7204

Prime factors of 7204 are 2, 1801. Prime factorization of 7204 in exponential form is:

7204 = 2² × 1801¹

Step-3: Factors of 7184

List of positive integer factors of 7184 that divides 7184 without a remainder.

1, 2, 4, 8, 16, 449, 898, 1796, 3592

Step-4: Factors of 7204

List of positive integer factors of 7204 that divides 7184 without a remainder.

1, 2, 4, 1801, 3602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7184 and 7204. The biggest common factor number is the GCF number.
So the greatest common factor 7184 and 7204 is 4.

Also check out the Least Common Multiple of 7184 and 7204