What is the Greatest Common Factor of 2233 and 2249?

Greatest common factor (GCF) of 2233 and 2249 is 1.

GCF(2233,2249) = 1

We will now calculate the prime factors of 2233 and 2249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2233 and 2249.

How to find the GCF of 2233 and 2249?

We will first find the prime factorization of 2233 and 2249. After we will calculate the factors of 2233 and 2249 and find the biggest common factor number .

Step-1: Prime Factorization of 2233

Prime factors of 2233 are 7, 11, 29. Prime factorization of 2233 in exponential form is:

2233 = 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 2249

Prime factors of 2249 are 13, 173. Prime factorization of 2249 in exponential form is:

2249 = 13¹ × 173¹

Step-3: Factors of 2233

List of positive integer factors of 2233 that divides 2233 without a remainder.

1, 7, 11, 29, 77, 203, 319

Step-4: Factors of 2249

List of positive integer factors of 2249 that divides 2233 without a remainder.

1, 13, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2233 and 2249. The biggest common factor number is the GCF number.
So the greatest common factor 2233 and 2249 is 1.

Also check out the Least Common Multiple of 2233 and 2249