What is the Greatest Common Factor of 8149 and 8162?

Greatest common factor (GCF) of 8149 and 8162 is 1.

GCF(8149,8162) = 1

We will now calculate the prime factors of 8149 and 8162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8149 and 8162.

How to find the GCF of 8149 and 8162?

We will first find the prime factorization of 8149 and 8162. After we will calculate the factors of 8149 and 8162 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 8162

Prime factors of 8162 are 2, 7, 11, 53. Prime factorization of 8162 in exponential form is:

8162 = 2¹ × 7¹ × 11¹ × 53¹

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 8162

List of positive integer factors of 8162 that divides 8149 without a remainder.

1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8149 and 8162. The biggest common factor number is the GCF number.
So the greatest common factor 8149 and 8162 is 1.

Also check out the Least Common Multiple of 8149 and 8162