What is the Greatest Common Factor of 7234 and 7254?

Greatest common factor (GCF) of 7234 and 7254 is 2.

GCF(7234,7254) = 2

We will now calculate the prime factors of 7234 and 7254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7234 and 7254.

How to find the GCF of 7234 and 7254?

We will first find the prime factorization of 7234 and 7254. After we will calculate the factors of 7234 and 7254 and find the biggest common factor number .

Step-1: Prime Factorization of 7234

Prime factors of 7234 are 2, 3617. Prime factorization of 7234 in exponential form is:

7234 = 2¹ × 3617¹

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 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1, 2, 3617

Step-4: Factors of 7254

List of positive integer factors of 7254 that divides 7234 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 7234 and 7254. The biggest common factor number is the GCF number.
So the greatest common factor 7234 and 7254 is 2.

Also check out the Least Common Multiple of 7234 and 7254