What is the Greatest Common Factor of 8149 and 8163?

Greatest common factor (GCF) of 8149 and 8163 is 1.

GCF(8149,8163) = 1

We will now calculate the prime factors of 8149 and 8163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8149 and 8163.

How to find the GCF of 8149 and 8163?

We will first find the prime factorization of 8149 and 8163. After we will calculate the factors of 8149 and 8163 and find the biggest common factor number .

Step-1: Prime Factorization of 8149

Prime factors of 8149 are 29, 281. Prime factorization of 8149 in exponential form is:

8149 = 29¹ × 281¹

Step-2: Prime Factorization of 8163

Prime factors of 8163 are 3, 907. Prime factorization of 8163 in exponential form is:

8163 = 3² × 907¹

Step-3: Factors of 8149

List of positive integer factors of 8149 that divides 8149 without a remainder.

1, 29, 281

Step-4: Factors of 8163

List of positive integer factors of 8163 that divides 8149 without a remainder.

1, 3, 9, 907, 2721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8149 and 8163. The biggest common factor number is the GCF number.
So the greatest common factor 8149 and 8163 is 1.

Also check out the Least Common Multiple of 8149 and 8163