What is the Greatest Common Factor of 8430 and 8442?

Greatest common factor (GCF) of 8430 and 8442 is 6.

GCF(8430,8442) = 6

We will now calculate the prime factors of 8430 and 8442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8430 and 8442.

How to find the GCF of 8430 and 8442?

We will first find the prime factorization of 8430 and 8442. After we will calculate the factors of 8430 and 8442 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 8442

Prime factors of 8442 are 2, 3, 7, 67. Prime factorization of 8442 in exponential form is:

8442 = 2¹ × 3² × 7¹ × 67¹

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 8442

List of positive integer factors of 8442 that divides 8430 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8430 and 8442. The biggest common factor number is the GCF number.
So the greatest common factor 8430 and 8442 is 6.

Also check out the Least Common Multiple of 8430 and 8442