What is the Greatest Common Factor of 7264 and 7274?

Greatest common factor (GCF) of 7264 and 7274 is 2.

GCF(7264,7274) = 2

We will now calculate the prime factors of 7264 and 7274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7264 and 7274.

How to find the GCF of 7264 and 7274?

We will first find the prime factorization of 7264 and 7274. After we will calculate the factors of 7264 and 7274 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 7274

Prime factors of 7274 are 2, 3637. Prime factorization of 7274 in exponential form is:

7274 = 2¹ × 3637¹

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 7274

List of positive integer factors of 7274 that divides 7264 without a remainder.

1, 2, 3637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7264 and 7274. The biggest common factor number is the GCF number.
So the greatest common factor 7264 and 7274 is 2.

Also check out the Least Common Multiple of 7264 and 7274