What is the Greatest Common Factor of 72182 and 72196?

Greatest common factor (GCF) of 72182 and 72196 is 2.

GCF(72182,72196) = 2

We will now calculate the prime factors of 72182 and 72196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72182 and 72196.

How to find the GCF of 72182 and 72196?

We will first find the prime factorization of 72182 and 72196. After we will calculate the factors of 72182 and 72196 and find the biggest common factor number .

Step-1: Prime Factorization of 72182

Prime factors of 72182 are 2, 11, 17, 193. Prime factorization of 72182 in exponential form is:

72182 = 2¹ × 11¹ × 17¹ × 193¹

Step-2: Prime Factorization of 72196

Prime factors of 72196 are 2, 18049. Prime factorization of 72196 in exponential form is:

72196 = 2² × 18049¹

Step-3: Factors of 72182

List of positive integer factors of 72182 that divides 72182 without a remainder.

1, 2, 11, 17, 22, 34, 187, 193, 374, 386, 2123, 3281, 4246, 6562, 36091

Step-4: Factors of 72196

List of positive integer factors of 72196 that divides 72182 without a remainder.

1, 2, 4, 18049, 36098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72182 and 72196. The biggest common factor number is the GCF number.
So the greatest common factor 72182 and 72196 is 2.

Also check out the Least Common Multiple of 72182 and 72196