What is the Greatest Common Factor of 80197 and 80201?

Greatest common factor (GCF) of 80197 and 80201 is 1.

GCF(80197,80201) = 1

We will now calculate the prime factors of 80197 and 80201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80197 and 80201.

How to find the GCF of 80197 and 80201?

We will first find the prime factorization of 80197 and 80201. After we will calculate the factors of 80197 and 80201 and find the biggest common factor number .

Step-1: Prime Factorization of 80197

Prime factors of 80197 are 13, 31, 199. Prime factorization of 80197 in exponential form is:

80197 = 13¹ × 31¹ × 199¹

Step-2: Prime Factorization of 80201

Prime factors of 80201 are 11, 23, 317. Prime factorization of 80201 in exponential form is:

80201 = 11¹ × 23¹ × 317¹

Step-3: Factors of 80197

List of positive integer factors of 80197 that divides 80197 without a remainder.

1, 13, 31, 199, 403, 2587, 6169

Step-4: Factors of 80201

List of positive integer factors of 80201 that divides 80197 without a remainder.

1, 11, 23, 253, 317, 3487, 7291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80197 and 80201. The biggest common factor number is the GCF number.
So the greatest common factor 80197 and 80201 is 1.

Also check out the Least Common Multiple of 80197 and 80201