What is the Greatest Common Factor of 8 and 240?

Greatest common factor (GCF) of 8 and 240 is 8.

GCF(8,240) = 8

We will now calculate the prime factors of 8 and 240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 240.

How to find the GCF of 8 and 240?

We will first find the prime factorization of 8 and 240. After we will calculate the factors of 8 and 240 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 240

Prime factors of 240 are 2, 3, 5. Prime factorization of 240 in exponential form is:

240 = 2⁴ × 3¹ × 5¹

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 240

List of positive integer factors of 240 that divides 8 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8 and 240. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 240 is 8.

Also check out the Least Common Multiple of 8 and 240