What is the Greatest Common Factor of 9276 and 9291?

Greatest common factor (GCF) of 9276 and 9291 is 3.

GCF(9276,9291) = 3

We will now calculate the prime factors of 9276 and 9291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9276 and 9291.

How to find the GCF of 9276 and 9291?

We will first find the prime factorization of 9276 and 9291. After we will calculate the factors of 9276 and 9291 and find the biggest common factor number .

Step-1: Prime Factorization of 9276

Prime factors of 9276 are 2, 3, 773. Prime factorization of 9276 in exponential form is:

9276 = 2² × 3¹ × 773¹

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 9276

List of positive integer factors of 9276 that divides 9276 without a remainder.

1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638

Step-4: Factors of 9291

List of positive integer factors of 9291 that divides 9276 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9276 and 9291. The biggest common factor number is the GCF number.
So the greatest common factor 9276 and 9291 is 3.

Also check out the Least Common Multiple of 9276 and 9291