What is the Greatest Common Factor of 7312 and 7330?

Greatest common factor (GCF) of 7312 and 7330 is 2.

GCF(7312,7330) = 2

We will now calculate the prime factors of 7312 and 7330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7312 and 7330.

How to find the GCF of 7312 and 7330?

We will first find the prime factorization of 7312 and 7330. After we will calculate the factors of 7312 and 7330 and find the biggest common factor number .

Step-1: Prime Factorization of 7312

Prime factors of 7312 are 2, 457. Prime factorization of 7312 in exponential form is:

7312 = 2⁴ × 457¹

Step-2: Prime Factorization of 7330

Prime factors of 7330 are 2, 5, 733. Prime factorization of 7330 in exponential form is:

7330 = 2¹ × 5¹ × 733¹

Step-3: Factors of 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1, 2, 4, 8, 16, 457, 914, 1828, 3656

Step-4: Factors of 7330

List of positive integer factors of 7330 that divides 7312 without a remainder.

1, 2, 5, 10, 733, 1466, 3665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7312 and 7330. The biggest common factor number is the GCF number.
So the greatest common factor 7312 and 7330 is 2.

Also check out the Least Common Multiple of 7312 and 7330