What is the Greatest Common Factor of 7168 and 7184?

Greatest common factor (GCF) of 7168 and 7184 is 16.

GCF(7168,7184) = 16

We will now calculate the prime factors of 7168 and 7184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7168 and 7184.

How to find the GCF of 7168 and 7184?

We will first find the prime factorization of 7168 and 7184. After we will calculate the factors of 7168 and 7184 and find the biggest common factor number .

Step-1: Prime Factorization of 7168

Prime factors of 7168 are 2, 7. Prime factorization of 7168 in exponential form is:

7168 = 2¹⁰ × 7¹

Step-2: Prime Factorization of 7184

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

7184 = 2⁴ × 449¹

Step-3: Factors of 7168

List of positive integer factors of 7168 that divides 7168 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584

Step-4: Factors of 7184

List of positive integer factors of 7184 that divides 7168 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7168 and 7184. The biggest common factor number is the GCF number.
So the greatest common factor 7168 and 7184 is 16.

Also check out the Least Common Multiple of 7168 and 7184