What is the Greatest Common Factor of 14782 and 14792?

Greatest common factor (GCF) of 14782 and 14792 is 2.

GCF(14782,14792) = 2

We will now calculate the prime factors of 14782 and 14792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14782 and 14792.

How to find the GCF of 14782 and 14792?

We will first find the prime factorization of 14782 and 14792. After we will calculate the factors of 14782 and 14792 and find the biggest common factor number .

Step-1: Prime Factorization of 14782

Prime factors of 14782 are 2, 19, 389. Prime factorization of 14782 in exponential form is:

14782 = 2¹ × 19¹ × 389¹

Step-2: Prime Factorization of 14792

Prime factors of 14792 are 2, 43. Prime factorization of 14792 in exponential form is:

14792 = 2³ × 43²

Step-3: Factors of 14782

List of positive integer factors of 14782 that divides 14782 without a remainder.

1, 2, 19, 38, 389, 778, 7391

Step-4: Factors of 14792

List of positive integer factors of 14792 that divides 14782 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344, 1849, 3698, 7396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14782 and 14792. The biggest common factor number is the GCF number.
So the greatest common factor 14782 and 14792 is 2.

Also check out the Least Common Multiple of 14782 and 14792