What is the Greatest Common Factor of 8396 and 8410?

Greatest common factor (GCF) of 8396 and 8410 is 2.

GCF(8396,8410) = 2

We will now calculate the prime factors of 8396 and 8410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8396 and 8410.

How to find the GCF of 8396 and 8410?

We will first find the prime factorization of 8396 and 8410. After we will calculate the factors of 8396 and 8410 and find the biggest common factor number .

Step-1: Prime Factorization of 8396

Prime factors of 8396 are 2, 2099. Prime factorization of 8396 in exponential form is:

8396 = 2² × 2099¹

Step-2: Prime Factorization of 8410

Prime factors of 8410 are 2, 5, 29. Prime factorization of 8410 in exponential form is:

8410 = 2¹ × 5¹ × 29²

Step-3: Factors of 8396

List of positive integer factors of 8396 that divides 8396 without a remainder.

1, 2, 4, 2099, 4198

Step-4: Factors of 8410

List of positive integer factors of 8410 that divides 8396 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8396 and 8410. The biggest common factor number is the GCF number.
So the greatest common factor 8396 and 8410 is 2.

Also check out the Least Common Multiple of 8396 and 8410