What is the Greatest Common Factor of 8410 and 8414?

Greatest common factor (GCF) of 8410 and 8414 is 2.

GCF(8410,8414) = 2

We will now calculate the prime factors of 8410 and 8414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8410 and 8414.

How to find the GCF of 8410 and 8414?

We will first find the prime factorization of 8410 and 8414. After we will calculate the factors of 8410 and 8414 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8414

Prime factors of 8414 are 2, 7, 601. Prime factorization of 8414 in exponential form is:

8414 = 2¹ × 7¹ × 601¹

Step-3: Factors of 8410

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

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

Step-4: Factors of 8414

List of positive integer factors of 8414 that divides 8410 without a remainder.

1, 2, 7, 14, 601, 1202, 4207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8410 and 8414. The biggest common factor number is the GCF number.
So the greatest common factor 8410 and 8414 is 2.

Also check out the Least Common Multiple of 8410 and 8414