What is the Greatest Common Factor of 2249 and 2257?

Greatest common factor (GCF) of 2249 and 2257 is 1.

GCF(2249,2257) = 1

We will now calculate the prime factors of 2249 and 2257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2249 and 2257.

How to find the GCF of 2249 and 2257?

We will first find the prime factorization of 2249 and 2257. After we will calculate the factors of 2249 and 2257 and find the biggest common factor number .

Step-1: Prime Factorization of 2249

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

2249 = 13¹ × 173¹

Step-2: Prime Factorization of 2257

Prime factors of 2257 are 37, 61. Prime factorization of 2257 in exponential form is:

2257 = 37¹ × 61¹

Step-3: Factors of 2249

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

1, 13, 173

Step-4: Factors of 2257

List of positive integer factors of 2257 that divides 2249 without a remainder.

1, 37, 61

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2249 and 2257. The biggest common factor number is the GCF number.
So the greatest common factor 2249 and 2257 is 1.

Also check out the Least Common Multiple of 2249 and 2257