What is the Greatest Common Factor of 7264 and 7278?

Greatest common factor (GCF) of 7264 and 7278 is 2.

GCF(7264,7278) = 2

We will now calculate the prime factors of 7264 and 7278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7264 and 7278.

How to find the GCF of 7264 and 7278?

We will first find the prime factorization of 7264 and 7278. After we will calculate the factors of 7264 and 7278 and find the biggest common factor number .

Step-1: Prime Factorization of 7264

Prime factors of 7264 are 2, 227. Prime factorization of 7264 in exponential form is:

7264 = 2⁵ × 227¹

Step-2: Prime Factorization of 7278

Prime factors of 7278 are 2, 3, 1213. Prime factorization of 7278 in exponential form is:

7278 = 2¹ × 3¹ × 1213¹

Step-3: Factors of 7264

List of positive integer factors of 7264 that divides 7264 without a remainder.

1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632

Step-4: Factors of 7278

List of positive integer factors of 7278 that divides 7264 without a remainder.

1, 2, 3, 6, 1213, 2426, 3639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7264 and 7278. The biggest common factor number is the GCF number.
So the greatest common factor 7264 and 7278 is 2.

Also check out the Least Common Multiple of 7264 and 7278