What is the Greatest Common Factor of 7176 and 7196?

Greatest common factor (GCF) of 7176 and 7196 is 4.

GCF(7176,7196) = 4

We will now calculate the prime factors of 7176 and 7196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7176 and 7196.

How to find the GCF of 7176 and 7196?

We will first find the prime factorization of 7176 and 7196. After we will calculate the factors of 7176 and 7196 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 7196

Prime factors of 7196 are 2, 7, 257. Prime factorization of 7196 in exponential form is:

7196 = 2² × 7¹ × 257¹

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 7196

List of positive integer factors of 7196 that divides 7176 without a remainder.

1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7176 and 7196. The biggest common factor number is the GCF number.
So the greatest common factor 7176 and 7196 is 4.

Also check out the Least Common Multiple of 7176 and 7196