What is the Greatest Common Factor of 7152 and 7170?

Greatest common factor (GCF) of 7152 and 7170 is 6.

GCF(7152,7170) = 6

We will now calculate the prime factors of 7152 and 7170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7152 and 7170.

How to find the GCF of 7152 and 7170?

We will first find the prime factorization of 7152 and 7170. After we will calculate the factors of 7152 and 7170 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 7170

Prime factors of 7170 are 2, 3, 5, 239. Prime factorization of 7170 in exponential form is:

7170 = 2¹ × 3¹ × 5¹ × 239¹

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 7170

List of positive integer factors of 7170 that divides 7152 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7152 and 7170. The biggest common factor number is the GCF number.
So the greatest common factor 7152 and 7170 is 6.

Also check out the Least Common Multiple of 7152 and 7170