What is the Greatest Common Factor of 8492 and 8503?

Greatest common factor (GCF) of 8492 and 8503 is 11.

GCF(8492,8503) = 11

We will now calculate the prime factors of 8492 and 8503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8492 and 8503.

How to find the GCF of 8492 and 8503?

We will first find the prime factorization of 8492 and 8503. After we will calculate the factors of 8492 and 8503 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 8503

Prime factors of 8503 are 11, 773. Prime factorization of 8503 in exponential form is:

8503 = 11¹ × 773¹

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 8503

List of positive integer factors of 8503 that divides 8492 without a remainder.

1, 11, 773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8492 and 8503. The biggest common factor number is the GCF number.
So the greatest common factor 8492 and 8503 is 11.

Also check out the Least Common Multiple of 8492 and 8503