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What is the Greatest Common Factor of 4 and 248?

Greatest common factor (GCF) of 4 and 248 is 4.

GCF(4,248) = 4

We will now calculate the prime factors of 4 and 248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4 and 248.

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How to find the GCF of 4 and 248?

We will first find the prime factorization of 4 and 248. After we will calculate the factors of 4 and 248 and find the biggest common factor number .

Step-1: Prime Factorization of 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

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 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2

Step-4: Factors of 248

List of positive integer factors of 248 that divides 4 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4 and 248. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 248 is 4.

Also check out the Least Common Multiple of 4 and 248