What is the Greatest Common Factor of 7249 and 7264?

Greatest common factor (GCF) of 7249 and 7264 is 1.

GCF(7249,7264) = 1

We will now calculate the prime factors of 7249 and 7264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7249 and 7264.

How to find the GCF of 7249 and 7264?

We will first find the prime factorization of 7249 and 7264. After we will calculate the factors of 7249 and 7264 and find the biggest common factor number .

Step-1: Prime Factorization of 7249

Prime factors of 7249 are 11, 659. Prime factorization of 7249 in exponential form is:

7249 = 11¹ × 659¹

Step-2: Prime Factorization of 7264

Prime factors of 7264 are 2, 227. Prime factorization of 7264 in exponential form is:

7264 = 2⁵ × 227¹

Step-3: Factors of 7249

List of positive integer factors of 7249 that divides 7249 without a remainder.

1, 11, 659

Step-4: Factors of 7264

List of positive integer factors of 7264 that divides 7249 without a remainder.

1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7249 and 7264. The biggest common factor number is the GCF number.
So the greatest common factor 7249 and 7264 is 1.

Also check out the Least Common Multiple of 7249 and 7264