What is the Greatest Common Factor of 8148 and 8162?

Greatest common factor (GCF) of 8148 and 8162 is 14.

GCF(8148,8162) = 14

We will now calculate the prime factors of 8148 and 8162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8148 and 8162.

How to find the GCF of 8148 and 8162?

We will first find the prime factorization of 8148 and 8162. After we will calculate the factors of 8148 and 8162 and find the biggest common factor number .

Step-1: Prime Factorization of 8148

Prime factors of 8148 are 2, 3, 7, 97. Prime factorization of 8148 in exponential form is:

8148 = 2² × 3¹ × 7¹ × 97¹

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 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074

Step-4: Factors of 8162

List of positive integer factors of 8162 that divides 8148 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 8148 and 8162. The biggest common factor number is the GCF number.
So the greatest common factor 8148 and 8162 is 14.

Also check out the Least Common Multiple of 8148 and 8162