What is the Greatest Common Factor of 7238 and 7256?

Greatest common factor (GCF) of 7238 and 7256 is 2.

GCF(7238,7256) = 2

We will now calculate the prime factors of 7238 and 7256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7238 and 7256.

How to find the GCF of 7238 and 7256?

We will first find the prime factorization of 7238 and 7256. After we will calculate the factors of 7238 and 7256 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 7256

Prime factors of 7256 are 2, 907. Prime factorization of 7256 in exponential form is:

7256 = 2³ × 907¹

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 7256

List of positive integer factors of 7256 that divides 7238 without a remainder.

1, 2, 4, 8, 907, 1814, 3628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7238 and 7256. The biggest common factor number is the GCF number.
So the greatest common factor 7238 and 7256 is 2.

Also check out the Least Common Multiple of 7238 and 7256