What is the Greatest Common Factor of 47928 and 47947?

Greatest common factor (GCF) of 47928 and 47947 is 1.

GCF(47928,47947) = 1

We will now calculate the prime factors of 47928 and 47947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47928 and 47947.

How to find the GCF of 47928 and 47947?

We will first find the prime factorization of 47928 and 47947. After we will calculate the factors of 47928 and 47947 and find the biggest common factor number .

Step-1: Prime Factorization of 47928

Prime factors of 47928 are 2, 3, 1997. Prime factorization of 47928 in exponential form is:

47928 = 2³ × 3¹ × 1997¹

Step-2: Prime Factorization of 47947

Prime factors of 47947 are 47947. Prime factorization of 47947 in exponential form is:

47947 = 47947¹

Step-3: Factors of 47928

List of positive integer factors of 47928 that divides 47928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1997, 3994, 5991, 7988, 11982, 15976, 23964

Step-4: Factors of 47947

List of positive integer factors of 47947 that divides 47928 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47928 and 47947. The biggest common factor number is the GCF number.
So the greatest common factor 47928 and 47947 is 1.

Also check out the Least Common Multiple of 47928 and 47947