What is the Greatest Common Factor of 7257 and 7266?

Greatest common factor (GCF) of 7257 and 7266 is 3.

GCF(7257,7266) = 3

We will now calculate the prime factors of 7257 and 7266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7257 and 7266.

How to find the GCF of 7257 and 7266?

We will first find the prime factorization of 7257 and 7266. After we will calculate the factors of 7257 and 7266 and find the biggest common factor number .

Step-1: Prime Factorization of 7257

Prime factors of 7257 are 3, 41, 59. Prime factorization of 7257 in exponential form is:

7257 = 3¹ × 41¹ × 59¹

Step-2: 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-3: Factors of 7257

List of positive integer factors of 7257 that divides 7257 without a remainder.

1, 3, 41, 59, 123, 177, 2419

Step-4: Factors of 7266

List of positive integer factors of 7266 that divides 7257 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7257 and 7266. The biggest common factor number is the GCF number.
So the greatest common factor 7257 and 7266 is 3.

Also check out the Least Common Multiple of 7257 and 7266