What is the Greatest Common Factor of 8 and 760?

Greatest common factor (GCF) of 8 and 760 is 8.

GCF(8,760) = 8

We will now calculate the prime factors of 8 and 760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 760.

How to find the GCF of 8 and 760?

We will first find the prime factorization of 8 and 760. After we will calculate the factors of 8 and 760 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 760

Prime factors of 760 are 2, 5, 19. Prime factorization of 760 in exponential form is:

760 = 2³ × 5¹ × 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 760

List of positive integer factors of 760 that divides 8 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8 and 760. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 760 is 8.

Also check out the Least Common Multiple of 8 and 760