What is the Greatest Common Factor of 8182 and 8201?

Greatest common factor (GCF) of 8182 and 8201 is 1.

GCF(8182,8201) = 1

We will now calculate the prime factors of 8182 and 8201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8182 and 8201.

How to find the GCF of 8182 and 8201?

We will first find the prime factorization of 8182 and 8201. After we will calculate the factors of 8182 and 8201 and find the biggest common factor number .

Step-1: Prime Factorization of 8182

Prime factors of 8182 are 2, 4091. Prime factorization of 8182 in exponential form is:

8182 = 2¹ × 4091¹

Step-2: Prime Factorization of 8201

Prime factors of 8201 are 59, 139. Prime factorization of 8201 in exponential form is:

8201 = 59¹ × 139¹

Step-3: Factors of 8182

List of positive integer factors of 8182 that divides 8182 without a remainder.

1, 2, 4091

Step-4: Factors of 8201

List of positive integer factors of 8201 that divides 8182 without a remainder.

1, 59, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8182 and 8201. The biggest common factor number is the GCF number.
So the greatest common factor 8182 and 8201 is 1.

Also check out the Least Common Multiple of 8182 and 8201