What is the Greatest Common Factor of 7241 and 7254?

Greatest common factor (GCF) of 7241 and 7254 is 13.

GCF(7241,7254) = 13

We will now calculate the prime factors of 7241 and 7254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7241 and 7254.

How to find the GCF of 7241 and 7254?

We will first find the prime factorization of 7241 and 7254. After we will calculate the factors of 7241 and 7254 and find the biggest common factor number .

Step-1: Prime Factorization of 7241

Prime factors of 7241 are 13, 557. Prime factorization of 7241 in exponential form is:

7241 = 13¹ × 557¹

Step-2: Prime Factorization of 7254

Prime factors of 7254 are 2, 3, 13, 31. Prime factorization of 7254 in exponential form is:

7254 = 2¹ × 3² × 13¹ × 31¹

Step-3: Factors of 7241

List of positive integer factors of 7241 that divides 7241 without a remainder.

1, 13, 557

Step-4: Factors of 7254

List of positive integer factors of 7254 that divides 7241 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7241 and 7254. The biggest common factor number is the GCF number.
So the greatest common factor 7241 and 7254 is 13.

Also check out the Least Common Multiple of 7241 and 7254