What is the Greatest Common Factor of 8124 and 8128?

Greatest common factor (GCF) of 8124 and 8128 is 4.

GCF(8124,8128) = 4

We will now calculate the prime factors of 8124 and 8128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8124 and 8128.

How to find the GCF of 8124 and 8128?

We will first find the prime factorization of 8124 and 8128. After we will calculate the factors of 8124 and 8128 and find the biggest common factor number .

Step-1: Prime Factorization of 8124

Prime factors of 8124 are 2, 3, 677. Prime factorization of 8124 in exponential form is:

8124 = 2² × 3¹ × 677¹

Step-2: Prime Factorization of 8128

Prime factors of 8128 are 2, 127. Prime factorization of 8128 in exponential form is:

8128 = 2⁶ × 127¹

Step-3: Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062

Step-4: Factors of 8128

List of positive integer factors of 8128 that divides 8124 without a remainder.

1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8124 and 8128. The biggest common factor number is the GCF number.
So the greatest common factor 8124 and 8128 is 4.

Also check out the Least Common Multiple of 8124 and 8128