What is the Greatest Common Factor of 7275 and 7283?

Greatest common factor (GCF) of 7275 and 7283 is 1.

GCF(7275,7283) = 1

We will now calculate the prime factors of 7275 and 7283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7275 and 7283.

How to find the GCF of 7275 and 7283?

We will first find the prime factorization of 7275 and 7283. After we will calculate the factors of 7275 and 7283 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7283

Prime factors of 7283 are 7283. Prime factorization of 7283 in exponential form is:

7283 = 7283¹

Step-3: Factors of 7275

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

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

Step-4: Factors of 7283

List of positive integer factors of 7283 that divides 7275 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7275 and 7283. The biggest common factor number is the GCF number.
So the greatest common factor 7275 and 7283 is 1.

Also check out the Least Common Multiple of 7275 and 7283