What is the Greatest Common Factor of 7152 and 7164?

Greatest common factor (GCF) of 7152 and 7164 is 12.

GCF(7152,7164) = 12

We will now calculate the prime factors of 7152 and 7164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7152 and 7164.

How to find the GCF of 7152 and 7164?

We will first find the prime factorization of 7152 and 7164. After we will calculate the factors of 7152 and 7164 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 7164

Prime factors of 7164 are 2, 3, 199. Prime factorization of 7164 in exponential form is:

7164 = 2² × 3² × 199¹

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 7164

List of positive integer factors of 7164 that divides 7152 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7152 and 7164. The biggest common factor number is the GCF number.
So the greatest common factor 7152 and 7164 is 12.

Also check out the Least Common Multiple of 7152 and 7164