What is the Greatest Common Factor of 7182 and 7186?

Greatest common factor (GCF) of 7182 and 7186 is 2.

GCF(7182,7186) = 2

We will now calculate the prime factors of 7182 and 7186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7182 and 7186.

How to find the GCF of 7182 and 7186?

We will first find the prime factorization of 7182 and 7186. After we will calculate the factors of 7182 and 7186 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 7186

Prime factors of 7186 are 2, 3593. Prime factorization of 7186 in exponential form is:

7186 = 2¹ × 3593¹

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 7186

List of positive integer factors of 7186 that divides 7182 without a remainder.

1, 2, 3593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7182 and 7186. The biggest common factor number is the GCF number.
So the greatest common factor 7182 and 7186 is 2.

Also check out the Least Common Multiple of 7182 and 7186