What is the Greatest Common Factor of 8 and 76?

Greatest common factor (GCF) of 8 and 76 is 4.

GCF(8,76) = 4

We will now calculate the prime factors of 8 and 76, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 76.

How to find the GCF of 8 and 76?

We will first find the prime factorization of 8 and 76. After we will calculate the factors of 8 and 76 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 76

Prime factors of 76 are 2, 19. Prime factorization of 76 in exponential form is:

76 = 2² × 19¹

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 76

List of positive integer factors of 76 that divides 8 without a remainder.

1, 2, 4, 19, 38

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8 and 76. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 76 is 4.

Also check out the Least Common Multiple of 8 and 76