What is the Greatest Common Factor of 7266 and 7275?

Greatest common factor (GCF) of 7266 and 7275 is 3.

GCF(7266,7275) = 3

We will now calculate the prime factors of 7266 and 7275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7266 and 7275.

How to find the GCF of 7266 and 7275?

We will first find the prime factorization of 7266 and 7275. After we will calculate the factors of 7266 and 7275 and find the biggest common factor number .

Step-1: Prime Factorization of 7266

Prime factors of 7266 are 2, 3, 7, 173. Prime factorization of 7266 in exponential form is:

7266 = 2¹ × 3¹ × 7¹ × 173¹

Step-2: Prime Factorization of 7275

Prime factors of 7275 are 3, 5, 97. Prime factorization of 7275 in exponential form is:

7275 = 3¹ × 5² × 97¹

Step-3: Factors of 7266

List of positive integer factors of 7266 that divides 7266 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633

Step-4: Factors of 7275

List of positive integer factors of 7275 that divides 7266 without a remainder.

1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7266 and 7275. The biggest common factor number is the GCF number.
So the greatest common factor 7266 and 7275 is 3.

Also check out the Least Common Multiple of 7266 and 7275