What is the Greatest Common Factor of 8481 and 8492?

Greatest common factor (GCF) of 8481 and 8492 is 11.

GCF(8481,8492) = 11

We will now calculate the prime factors of 8481 and 8492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8481 and 8492.

How to find the GCF of 8481 and 8492?

We will first find the prime factorization of 8481 and 8492. After we will calculate the factors of 8481 and 8492 and find the biggest common factor number .

Step-1: Prime Factorization of 8481

Prime factors of 8481 are 3, 11, 257. Prime factorization of 8481 in exponential form is:

8481 = 3¹ × 11¹ × 257¹

Step-2: Prime Factorization of 8492

Prime factors of 8492 are 2, 11, 193. Prime factorization of 8492 in exponential form is:

8492 = 2² × 11¹ × 193¹

Step-3: Factors of 8481

List of positive integer factors of 8481 that divides 8481 without a remainder.

1, 3, 11, 33, 257, 771, 2827

Step-4: Factors of 8492

List of positive integer factors of 8492 that divides 8481 without a remainder.

1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8481 and 8492. The biggest common factor number is the GCF number.
So the greatest common factor 8481 and 8492 is 11.

Also check out the Least Common Multiple of 8481 and 8492