What is the Greatest Common Factor of 2237 and 2248?

Greatest common factor (GCF) of 2237 and 2248 is 1.

GCF(2237,2248) = 1

We will now calculate the prime factors of 2237 and 2248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2237 and 2248.

How to find the GCF of 2237 and 2248?

We will first find the prime factorization of 2237 and 2248. After we will calculate the factors of 2237 and 2248 and find the biggest common factor number .

Step-1: Prime Factorization of 2237

Prime factors of 2237 are 2237. Prime factorization of 2237 in exponential form is:

2237 = 2237¹

Step-2: Prime Factorization of 2248

Prime factors of 2248 are 2, 281. Prime factorization of 2248 in exponential form is:

2248 = 2³ × 281¹

Step-3: Factors of 2237

List of positive integer factors of 2237 that divides 2237 without a remainder.

Step-4: Factors of 2248

List of positive integer factors of 2248 that divides 2237 without a remainder.

1, 2, 4, 8, 281, 562, 1124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2237 and 2248. The biggest common factor number is the GCF number.
So the greatest common factor 2237 and 2248 is 1.

Also check out the Least Common Multiple of 2237 and 2248