What is the Greatest Common Factor of 47790 and 47808?

Greatest common factor (GCF) of 47790 and 47808 is 18.

GCF(47790,47808) = 18

We will now calculate the prime factors of 47790 and 47808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47790 and 47808.

How to find the GCF of 47790 and 47808?

We will first find the prime factorization of 47790 and 47808. After we will calculate the factors of 47790 and 47808 and find the biggest common factor number .

Step-1: Prime Factorization of 47790

Prime factors of 47790 are 2, 3, 5, 59. Prime factorization of 47790 in exponential form is:

47790 = 2¹ × 3⁴ × 5¹ × 59¹

Step-2: 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-3: Factors of 47790

List of positive integer factors of 47790 that divides 47790 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 59, 81, 90, 118, 135, 162, 177, 270, 295, 354, 405, 531, 590, 810, 885, 1062, 1593, 1770, 2655, 3186, 4779, 5310, 7965, 9558, 15930, 23895

Step-4: Factors of 47808

List of positive integer factors of 47808 that divides 47790 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47790 and 47808. The biggest common factor number is the GCF number.
So the greatest common factor 47790 and 47808 is 18.

Also check out the Least Common Multiple of 47790 and 47808