What is the Greatest Common Factor of 240 and 248?

Greatest common factor (GCF) of 240 and 248 is 8.

GCF(240,248) = 8

We will now calculate the prime factors of 240 and 248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 240 and 248.

How to find the GCF of 240 and 248?

We will first find the prime factorization of 240 and 248. After we will calculate the factors of 240 and 248 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 248

Prime factors of 248 are 2, 31. Prime factorization of 248 in exponential form is:

248 = 2³ × 31¹

Step-3: Factors of 240

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

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

Step-4: Factors of 248

List of positive integer factors of 248 that divides 240 without a remainder.

1, 2, 4, 8, 31, 62, 124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 240 and 248. The biggest common factor number is the GCF number.
So the greatest common factor 240 and 248 is 8.

Also check out the Least Common Multiple of 240 and 248