What is the Greatest Common Factor of 7182 and 7197?

Greatest common factor (GCF) of 7182 and 7197 is 3.

GCF(7182,7197) = 3

We will now calculate the prime factors of 7182 and 7197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7182 and 7197.

How to find the GCF of 7182 and 7197?

We will first find the prime factorization of 7182 and 7197. After we will calculate the factors of 7182 and 7197 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 7197

Prime factors of 7197 are 3, 2399. Prime factorization of 7197 in exponential form is:

7197 = 3¹ × 2399¹

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 7197

List of positive integer factors of 7197 that divides 7182 without a remainder.

1, 3, 2399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7182 and 7197. The biggest common factor number is the GCF number.
So the greatest common factor 7182 and 7197 is 3.

Also check out the Least Common Multiple of 7182 and 7197