What is the Greatest Common Factor of 8430 and 8447?

Greatest common factor (GCF) of 8430 and 8447 is 1.

GCF(8430,8447) = 1

We will now calculate the prime factors of 8430 and 8447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8430 and 8447.

How to find the GCF of 8430 and 8447?

We will first find the prime factorization of 8430 and 8447. After we will calculate the factors of 8430 and 8447 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8447

Prime factors of 8447 are 8447. Prime factorization of 8447 in exponential form is:

8447 = 8447¹

Step-3: Factors of 8430

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

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

Step-4: Factors of 8447

List of positive integer factors of 8447 that divides 8430 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8430 and 8447. The biggest common factor number is the GCF number.
So the greatest common factor 8430 and 8447 is 1.

Also check out the Least Common Multiple of 8430 and 8447