What is the Greatest Common Factor of 7176 and 7180?

Greatest common factor (GCF) of 7176 and 7180 is 4.

GCF(7176,7180) = 4

We will now calculate the prime factors of 7176 and 7180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7176 and 7180.

How to find the GCF of 7176 and 7180?

We will first find the prime factorization of 7176 and 7180. After we will calculate the factors of 7176 and 7180 and find the biggest common factor number .

Step-1: Prime Factorization of 7176

Prime factors of 7176 are 2, 3, 13, 23. Prime factorization of 7176 in exponential form is:

7176 = 2³ × 3¹ × 13¹ × 23¹

Step-2: Prime Factorization of 7180

Prime factors of 7180 are 2, 5, 359. Prime factorization of 7180 in exponential form is:

7180 = 2² × 5¹ × 359¹

Step-3: Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588

Step-4: Factors of 7180

List of positive integer factors of 7180 that divides 7176 without a remainder.

1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7176 and 7180. The biggest common factor number is the GCF number.
So the greatest common factor 7176 and 7180 is 4.

Also check out the Least Common Multiple of 7176 and 7180