What is the Greatest Common Factor of 12824 and 12830?

Greatest common factor (GCF) of 12824 and 12830 is 2.

GCF(12824,12830) = 2

We will now calculate the prime factors of 12824 and 12830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12824 and 12830.

How to find the GCF of 12824 and 12830?

We will first find the prime factorization of 12824 and 12830. After we will calculate the factors of 12824 and 12830 and find the biggest common factor number .

Step-1: Prime Factorization of 12824

Prime factors of 12824 are 2, 7, 229. Prime factorization of 12824 in exponential form is:

12824 = 2³ × 7¹ × 229¹

Step-2: Prime Factorization of 12830

Prime factors of 12830 are 2, 5, 1283. Prime factorization of 12830 in exponential form is:

12830 = 2¹ × 5¹ × 1283¹

Step-3: Factors of 12824

List of positive integer factors of 12824 that divides 12824 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 229, 458, 916, 1603, 1832, 3206, 6412

Step-4: Factors of 12830

List of positive integer factors of 12830 that divides 12824 without a remainder.

1, 2, 5, 10, 1283, 2566, 6415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12824 and 12830. The biggest common factor number is the GCF number.
So the greatest common factor 12824 and 12830 is 2.

Also check out the Least Common Multiple of 12824 and 12830