What is the Greatest Common Factor of 8414 and 8421?

Greatest common factor (GCF) of 8414 and 8421 is 7.

GCF(8414,8421) = 7

We will now calculate the prime factors of 8414 and 8421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8414 and 8421.

How to find the GCF of 8414 and 8421?

We will first find the prime factorization of 8414 and 8421. After we will calculate the factors of 8414 and 8421 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8421

Prime factors of 8421 are 3, 7, 401. Prime factorization of 8421 in exponential form is:

8421 = 3¹ × 7¹ × 401¹

Step-3: Factors of 8414

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

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

Step-4: Factors of 8421

List of positive integer factors of 8421 that divides 8414 without a remainder.

1, 3, 7, 21, 401, 1203, 2807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8414 and 8421. The biggest common factor number is the GCF number.
So the greatest common factor 8414 and 8421 is 7.

Also check out the Least Common Multiple of 8414 and 8421