What is the Greatest Common Factor of 14824 and 14842?

Greatest common factor (GCF) of 14824 and 14842 is 2.

GCF(14824,14842) = 2

We will now calculate the prime factors of 14824 and 14842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14824 and 14842.

How to find the GCF of 14824 and 14842?

We will first find the prime factorization of 14824 and 14842. After we will calculate the factors of 14824 and 14842 and find the biggest common factor number .

Step-1: Prime Factorization of 14824

Prime factors of 14824 are 2, 17, 109. Prime factorization of 14824 in exponential form is:

14824 = 2³ × 17¹ × 109¹

Step-2: Prime Factorization of 14842

Prime factors of 14842 are 2, 41, 181. Prime factorization of 14842 in exponential form is:

14842 = 2¹ × 41¹ × 181¹

Step-3: Factors of 14824

List of positive integer factors of 14824 that divides 14824 without a remainder.

1, 2, 4, 8, 17, 34, 68, 109, 136, 218, 436, 872, 1853, 3706, 7412

Step-4: Factors of 14842

List of positive integer factors of 14842 that divides 14824 without a remainder.

1, 2, 41, 82, 181, 362, 7421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14824 and 14842. The biggest common factor number is the GCF number.
So the greatest common factor 14824 and 14842 is 2.

Also check out the Least Common Multiple of 14824 and 14842