What is the Greatest Common Factor of 7182 and 7196?

Greatest common factor (GCF) of 7182 and 7196 is 14.

GCF(7182,7196) = 14

We will now calculate the prime factors of 7182 and 7196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7182 and 7196.

How to find the GCF of 7182 and 7196?

We will first find the prime factorization of 7182 and 7196. After we will calculate the factors of 7182 and 7196 and find the biggest common factor number .

Step-1: Prime Factorization of 7182

Prime factors of 7182 are 2, 3, 7, 19. Prime factorization of 7182 in exponential form is:

7182 = 2¹ × 3³ × 7¹ × 19¹

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 7182

List of positive integer factors of 7182 that divides 7182 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591

Step-4: Factors of 7196

List of positive integer factors of 7196 that divides 7182 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 7182 and 7196. The biggest common factor number is the GCF number.
So the greatest common factor 7182 and 7196 is 14.

Also check out the Least Common Multiple of 7182 and 7196