What is the Greatest Common Factor of 8492 and 8509?

Greatest common factor (GCF) of 8492 and 8509 is 1.

GCF(8492,8509) = 1

We will now calculate the prime factors of 8492 and 8509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8492 and 8509.

How to find the GCF of 8492 and 8509?

We will first find the prime factorization of 8492 and 8509. After we will calculate the factors of 8492 and 8509 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8509

Prime factors of 8509 are 67, 127. Prime factorization of 8509 in exponential form is:

8509 = 67¹ × 127¹

Step-3: Factors of 8492

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

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

Step-4: Factors of 8509

List of positive integer factors of 8509 that divides 8492 without a remainder.

1, 67, 127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8492 and 8509. The biggest common factor number is the GCF number.
So the greatest common factor 8492 and 8509 is 1.

Also check out the Least Common Multiple of 8492 and 8509