What is the Greatest Common Factor of 7238 and 7258?

Greatest common factor (GCF) of 7238 and 7258 is 2.

GCF(7238,7258) = 2

We will now calculate the prime factors of 7238 and 7258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7238 and 7258.

How to find the GCF of 7238 and 7258?

We will first find the prime factorization of 7238 and 7258. After we will calculate the factors of 7238 and 7258 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 7258

Prime factors of 7258 are 2, 19, 191. Prime factorization of 7258 in exponential form is:

7258 = 2¹ × 19¹ × 191¹

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 7258

List of positive integer factors of 7258 that divides 7238 without a remainder.

1, 2, 19, 38, 191, 382, 3629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7238 and 7258. The biggest common factor number is the GCF number.
So the greatest common factor 7238 and 7258 is 2.

Also check out the Least Common Multiple of 7238 and 7258