What is the Greatest Common Factor of 47404 and 47418?

Greatest common factor (GCF) of 47404 and 47418 is 14.

GCF(47404,47418) = 14

We will now calculate the prime factors of 47404 and 47418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47404 and 47418.

How to find the GCF of 47404 and 47418?

We will first find the prime factorization of 47404 and 47418. After we will calculate the factors of 47404 and 47418 and find the biggest common factor number .

Step-1: Prime Factorization of 47404

Prime factors of 47404 are 2, 7, 1693. Prime factorization of 47404 in exponential form is:

47404 = 2² × 7¹ × 1693¹

Step-2: Prime Factorization of 47418

Prime factors of 47418 are 2, 3, 7, 1129. Prime factorization of 47418 in exponential form is:

47418 = 2¹ × 3¹ × 7¹ × 1129¹

Step-3: Factors of 47404

List of positive integer factors of 47404 that divides 47404 without a remainder.

1, 2, 4, 7, 14, 28, 1693, 3386, 6772, 11851, 23702

Step-4: Factors of 47418

List of positive integer factors of 47418 that divides 47404 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1129, 2258, 3387, 6774, 7903, 15806, 23709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47404 and 47418. The biggest common factor number is the GCF number.
So the greatest common factor 47404 and 47418 is 14.

Also check out the Least Common Multiple of 47404 and 47418