What is the Greatest Common Factor of 7240 and 7249?

Greatest common factor (GCF) of 7240 and 7249 is 1.

GCF(7240,7249) = 1

We will now calculate the prime factors of 7240 and 7249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7240 and 7249.

How to find the GCF of 7240 and 7249?

We will first find the prime factorization of 7240 and 7249. After we will calculate the factors of 7240 and 7249 and find the biggest common factor number .

Step-1: Prime Factorization of 7240

Prime factors of 7240 are 2, 5, 181. Prime factorization of 7240 in exponential form is:

7240 = 2³ × 5¹ × 181¹

Step-2: Prime Factorization of 7249

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

7249 = 11¹ × 659¹

Step-3: Factors of 7240

List of positive integer factors of 7240 that divides 7240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620

Step-4: Factors of 7249

List of positive integer factors of 7249 that divides 7240 without a remainder.

1, 11, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7240 and 7249. The biggest common factor number is the GCF number.
So the greatest common factor 7240 and 7249 is 1.

Also check out the Least Common Multiple of 7240 and 7249