What is the Greatest Common Factor of 9275 and 9291?

Greatest common factor (GCF) of 9275 and 9291 is 1.

GCF(9275,9291) = 1

We will now calculate the prime factors of 9275 and 9291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9275 and 9291.

How to find the GCF of 9275 and 9291?

We will first find the prime factorization of 9275 and 9291. After we will calculate the factors of 9275 and 9291 and find the biggest common factor number .

Step-1: Prime Factorization of 9275

Prime factors of 9275 are 5, 7, 53. Prime factorization of 9275 in exponential form is:

9275 = 5² × 7¹ × 53¹

Step-2: Prime Factorization of 9291

Prime factors of 9291 are 3, 19, 163. Prime factorization of 9291 in exponential form is:

9291 = 3¹ × 19¹ × 163¹

Step-3: Factors of 9275

List of positive integer factors of 9275 that divides 9275 without a remainder.

1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855

Step-4: Factors of 9291

List of positive integer factors of 9291 that divides 9275 without a remainder.

1, 3, 19, 57, 163, 489, 3097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9275 and 9291. The biggest common factor number is the GCF number.
So the greatest common factor 9275 and 9291 is 1.

Also check out the Least Common Multiple of 9275 and 9291