What is the Greatest Common Factor of 7249 and 7260?

Greatest common factor (GCF) of 7249 and 7260 is 11.

GCF(7249,7260) = 11

We will now calculate the prime factors of 7249 and 7260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7249 and 7260.

How to find the GCF of 7249 and 7260?

We will first find the prime factorization of 7249 and 7260. After we will calculate the factors of 7249 and 7260 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 7260

Prime factors of 7260 are 2, 3, 5, 11. Prime factorization of 7260 in exponential form is:

7260 = 2² × 3¹ × 5¹ × 11²

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 7260

List of positive integer factors of 7260 that divides 7249 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7249 and 7260. The biggest common factor number is the GCF number.
So the greatest common factor 7249 and 7260 is 11.

Also check out the Least Common Multiple of 7249 and 7260