What is the Greatest Common Factor of 8148 and 8152?

Greatest common factor (GCF) of 8148 and 8152 is 4.

GCF(8148,8152) = 4

We will now calculate the prime factors of 8148 and 8152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8148 and 8152.

How to find the GCF of 8148 and 8152?

We will first find the prime factorization of 8148 and 8152. After we will calculate the factors of 8148 and 8152 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 8152

Prime factors of 8152 are 2, 1019. Prime factorization of 8152 in exponential form is:

8152 = 2³ × 1019¹

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 8152

List of positive integer factors of 8152 that divides 8148 without a remainder.

1, 2, 4, 8, 1019, 2038, 4076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8148 and 8152. The biggest common factor number is the GCF number.
So the greatest common factor 8148 and 8152 is 4.

Also check out the Least Common Multiple of 8148 and 8152