What is the Greatest Common Factor of 9214 and 9232?

Greatest common factor (GCF) of 9214 and 9232 is 2.

GCF(9214,9232) = 2

We will now calculate the prime factors of 9214 and 9232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9214 and 9232.

How to find the GCF of 9214 and 9232?

We will first find the prime factorization of 9214 and 9232. After we will calculate the factors of 9214 and 9232 and find the biggest common factor number .

Step-1: Prime Factorization of 9214

Prime factors of 9214 are 2, 17, 271. Prime factorization of 9214 in exponential form is:

9214 = 2¹ × 17¹ × 271¹

Step-2: Prime Factorization of 9232

Prime factors of 9232 are 2, 577. Prime factorization of 9232 in exponential form is:

9232 = 2⁴ × 577¹

Step-3: Factors of 9214

List of positive integer factors of 9214 that divides 9214 without a remainder.

1, 2, 17, 34, 271, 542, 4607

Step-4: Factors of 9232

List of positive integer factors of 9232 that divides 9214 without a remainder.

1, 2, 4, 8, 16, 577, 1154, 2308, 4616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9214 and 9232. The biggest common factor number is the GCF number.
So the greatest common factor 9214 and 9232 is 2.

Also check out the Least Common Multiple of 9214 and 9232