What is the Greatest Common Factor of 8474 and 8493?

Greatest common factor (GCF) of 8474 and 8493 is 19.

GCF(8474,8493) = 19

We will now calculate the prime factors of 8474 and 8493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8474 and 8493.

How to find the GCF of 8474 and 8493?

We will first find the prime factorization of 8474 and 8493. After we will calculate the factors of 8474 and 8493 and find the biggest common factor number .

Step-1: Prime Factorization of 8474

Prime factors of 8474 are 2, 19, 223. Prime factorization of 8474 in exponential form is:

8474 = 2¹ × 19¹ × 223¹

Step-2: Prime Factorization of 8493

Prime factors of 8493 are 3, 19, 149. Prime factorization of 8493 in exponential form is:

8493 = 3¹ × 19¹ × 149¹

Step-3: Factors of 8474

List of positive integer factors of 8474 that divides 8474 without a remainder.

1, 2, 19, 38, 223, 446, 4237

Step-4: Factors of 8493

List of positive integer factors of 8493 that divides 8474 without a remainder.

1, 3, 19, 57, 149, 447, 2831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8474 and 8493. The biggest common factor number is the GCF number.
So the greatest common factor 8474 and 8493 is 19.

Also check out the Least Common Multiple of 8474 and 8493