What is the Greatest Common Factor of 7152 and 7168?

Greatest common factor (GCF) of 7152 and 7168 is 16.

GCF(7152,7168) = 16

We will now calculate the prime factors of 7152 and 7168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7152 and 7168.

How to find the GCF of 7152 and 7168?

We will first find the prime factorization of 7152 and 7168. After we will calculate the factors of 7152 and 7168 and find the biggest common factor number .

Step-1: Prime Factorization of 7152

Prime factors of 7152 are 2, 3, 149. Prime factorization of 7152 in exponential form is:

7152 = 2⁴ × 3¹ × 149¹

Step-2: Prime Factorization of 7168

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

7168 = 2¹⁰ × 7¹

Step-3: Factors of 7152

List of positive integer factors of 7152 that divides 7152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576

Step-4: Factors of 7168

List of positive integer factors of 7168 that divides 7152 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7152 and 7168. The biggest common factor number is the GCF number.
So the greatest common factor 7152 and 7168 is 16.

Also check out the Least Common Multiple of 7152 and 7168