What is the Greatest Common Factor of 47808 and 47819?

Greatest common factor (GCF) of 47808 and 47819 is 1.

GCF(47808,47819) = 1

We will now calculate the prime factors of 47808 and 47819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47808 and 47819.

How to find the GCF of 47808 and 47819?

We will first find the prime factorization of 47808 and 47819. After we will calculate the factors of 47808 and 47819 and find the biggest common factor number .

Step-1: Prime Factorization of 47808

Prime factors of 47808 are 2, 3, 83. Prime factorization of 47808 in exponential form is:

47808 = 2⁶ × 3² × 83¹

Step-2: Prime Factorization of 47819

Prime factors of 47819 are 47819. Prime factorization of 47819 in exponential form is:

47819 = 47819¹

Step-3: Factors of 47808

List of positive integer factors of 47808 that divides 47808 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 83, 96, 144, 166, 192, 249, 288, 332, 498, 576, 664, 747, 996, 1328, 1494, 1992, 2656, 2988, 3984, 5312, 5976, 7968, 11952, 15936, 23904

Step-4: Factors of 47819

List of positive integer factors of 47819 that divides 47808 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47808 and 47819. The biggest common factor number is the GCF number.
So the greatest common factor 47808 and 47819 is 1.

Also check out the Least Common Multiple of 47808 and 47819