What is the Greatest Common Factor of 2249 and 2265?

Greatest common factor (GCF) of 2249 and 2265 is 1.

GCF(2249,2265) = 1

We will now calculate the prime factors of 2249 and 2265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2249 and 2265.

How to find the GCF of 2249 and 2265?

We will first find the prime factorization of 2249 and 2265. After we will calculate the factors of 2249 and 2265 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 2265

Prime factors of 2265 are 3, 5, 151. Prime factorization of 2265 in exponential form is:

2265 = 3¹ × 5¹ × 151¹

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 2265

List of positive integer factors of 2265 that divides 2249 without a remainder.

1, 3, 5, 15, 151, 453, 755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2249 and 2265. The biggest common factor number is the GCF number.
So the greatest common factor 2249 and 2265 is 1.

Also check out the Least Common Multiple of 2249 and 2265