What is the Greatest Common Factor of 7238 and 7249?

Greatest common factor (GCF) of 7238 and 7249 is 11.

GCF(7238,7249) = 11

We will now calculate the prime factors of 7238 and 7249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7238 and 7249.

How to find the GCF of 7238 and 7249?

We will first find the prime factorization of 7238 and 7249. After we will calculate the factors of 7238 and 7249 and find the biggest common factor number .

Step-1: Prime Factorization of 7238

Prime factors of 7238 are 2, 7, 11, 47. Prime factorization of 7238 in exponential form is:

7238 = 2¹ × 7¹ × 11¹ × 47¹

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 7238

List of positive integer factors of 7238 that divides 7238 without a remainder.

1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619

Step-4: Factors of 7249

List of positive integer factors of 7249 that divides 7238 without a remainder.

1, 11, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7238 and 7249. The biggest common factor number is the GCF number.
So the greatest common factor 7238 and 7249 is 11.

Also check out the Least Common Multiple of 7238 and 7249