What is the Greatest Common Factor of 9231 and 9246?

Greatest common factor (GCF) of 9231 and 9246 is 3.

GCF(9231,9246) = 3

We will now calculate the prime factors of 9231 and 9246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9231 and 9246.

How to find the GCF of 9231 and 9246?

We will first find the prime factorization of 9231 and 9246. After we will calculate the factors of 9231 and 9246 and find the biggest common factor number .

Step-1: Prime Factorization of 9231

Prime factors of 9231 are 3, 17, 181. Prime factorization of 9231 in exponential form is:

9231 = 3¹ × 17¹ × 181¹

Step-2: Prime Factorization of 9246

Prime factors of 9246 are 2, 3, 23, 67. Prime factorization of 9246 in exponential form is:

9246 = 2¹ × 3¹ × 23¹ × 67¹

Step-3: Factors of 9231

List of positive integer factors of 9231 that divides 9231 without a remainder.

1, 3, 17, 51, 181, 543, 3077

Step-4: Factors of 9246

List of positive integer factors of 9246 that divides 9231 without a remainder.

1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9231 and 9246. The biggest common factor number is the GCF number.
So the greatest common factor 9231 and 9246 is 3.

Also check out the Least Common Multiple of 9231 and 9246