What is the Greatest Common Factor of 8414 and 8430?

Greatest common factor (GCF) of 8414 and 8430 is 2.

GCF(8414,8430) = 2

We will now calculate the prime factors of 8414 and 8430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8414 and 8430.

How to find the GCF of 8414 and 8430?

We will first find the prime factorization of 8414 and 8430. After we will calculate the factors of 8414 and 8430 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 8430

Prime factors of 8430 are 2, 3, 5, 281. Prime factorization of 8430 in exponential form is:

8430 = 2¹ × 3¹ × 5¹ × 281¹

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 8430

List of positive integer factors of 8430 that divides 8414 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8414 and 8430. The biggest common factor number is the GCF number.
So the greatest common factor 8414 and 8430 is 2.

Also check out the Least Common Multiple of 8414 and 8430