What is the Greatest Common Factor of 8 and 192?

Greatest common factor (GCF) of 8 and 192 is 8.

GCF(8,192) = 8

We will now calculate the prime factors of 8 and 192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 192.

How to find the GCF of 8 and 192?

We will first find the prime factorization of 8 and 192. After we will calculate the factors of 8 and 192 and find the biggest common factor number .

Step-1: Prime Factorization of 8

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 2³

Step-2: Prime Factorization of 192

Prime factors of 192 are 2, 3. Prime factorization of 192 in exponential form is:

192 = 2⁶ × 3¹

Step-3: Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1, 2, 4

Step-4: Factors of 192

List of positive integer factors of 192 that divides 8 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8 and 192. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 192 is 8.

Also check out the Least Common Multiple of 8 and 192