What is the Greatest Common Factor of 47398 and 47404?

Greatest common factor (GCF) of 47398 and 47404 is 2.

GCF(47398,47404) = 2

We will now calculate the prime factors of 47398 and 47404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47398 and 47404.

How to find the GCF of 47398 and 47404?

We will first find the prime factorization of 47398 and 47404. After we will calculate the factors of 47398 and 47404 and find the biggest common factor number .

Step-1: Prime Factorization of 47398

Prime factors of 47398 are 2, 13, 1823. Prime factorization of 47398 in exponential form is:

47398 = 2¹ × 13¹ × 1823¹

Step-2: 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-3: Factors of 47398

List of positive integer factors of 47398 that divides 47398 without a remainder.

1, 2, 13, 26, 1823, 3646, 23699

Step-4: Factors of 47404

List of positive integer factors of 47404 that divides 47398 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47398 and 47404. The biggest common factor number is the GCF number.
So the greatest common factor 47398 and 47404 is 2.

Also check out the Least Common Multiple of 47398 and 47404