What is the Greatest Common Factor of 47808 and 47820?

Greatest common factor (GCF) of 47808 and 47820 is 12.

GCF(47808,47820) = 12

We will now calculate the prime factors of 47808 and 47820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47808 and 47820.

How to find the GCF of 47808 and 47820?

We will first find the prime factorization of 47808 and 47820. After we will calculate the factors of 47808 and 47820 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 47820

Prime factors of 47820 are 2, 3, 5, 797. Prime factorization of 47820 in exponential form is:

47820 = 2² × 3¹ × 5¹ × 797¹

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 47820

List of positive integer factors of 47820 that divides 47808 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 797, 1594, 2391, 3188, 3985, 4782, 7970, 9564, 11955, 15940, 23910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47808 and 47820. The biggest common factor number is the GCF number.
So the greatest common factor 47808 and 47820 is 12.

Also check out the Least Common Multiple of 47808 and 47820