What is the Greatest Common Factor of 7260 and 7269?

Greatest common factor (GCF) of 7260 and 7269 is 3.

GCF(7260,7269) = 3

We will now calculate the prime factors of 7260 and 7269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7260 and 7269.

How to find the GCF of 7260 and 7269?

We will first find the prime factorization of 7260 and 7269. After we will calculate the factors of 7260 and 7269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7269

Prime factors of 7269 are 3, 2423. Prime factorization of 7269 in exponential form is:

7269 = 3¹ × 2423¹

Step-3: Factors of 7260

List of positive integer factors of 7260 that divides 7260 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

Step-4: Factors of 7269

List of positive integer factors of 7269 that divides 7260 without a remainder.

1, 3, 2423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7260 and 7269. The biggest common factor number is the GCF number.
So the greatest common factor 7260 and 7269 is 3.

Also check out the Least Common Multiple of 7260 and 7269