What is the Greatest Common Factor of 8406 and 8414?

Greatest common factor (GCF) of 8406 and 8414 is 2.

GCF(8406,8414) = 2

We will now calculate the prime factors of 8406 and 8414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8406 and 8414.

How to find the GCF of 8406 and 8414?

We will first find the prime factorization of 8406 and 8414. After we will calculate the factors of 8406 and 8414 and find the biggest common factor number .

Step-1: Prime Factorization of 8406

Prime factors of 8406 are 2, 3, 467. Prime factorization of 8406 in exponential form is:

8406 = 2¹ × 3² × 467¹

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 8406

List of positive integer factors of 8406 that divides 8406 without a remainder.

1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203

Step-4: Factors of 8414

List of positive integer factors of 8414 that divides 8406 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8406 and 8414. The biggest common factor number is the GCF number.
So the greatest common factor 8406 and 8414 is 2.

Also check out the Least Common Multiple of 8406 and 8414