What is the Greatest Common Factor of 47820 and 47832?

Greatest common factor (GCF) of 47820 and 47832 is 12.

GCF(47820,47832) = 12

We will now calculate the prime factors of 47820 and 47832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47820 and 47832.

How to find the GCF of 47820 and 47832?

We will first find the prime factorization of 47820 and 47832. After we will calculate the factors of 47820 and 47832 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47832

Prime factors of 47832 are 2, 3, 1993. Prime factorization of 47832 in exponential form is:

47832 = 2³ × 3¹ × 1993¹

Step-3: Factors of 47820

List of positive integer factors of 47820 that divides 47820 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

Step-4: Factors of 47832

List of positive integer factors of 47832 that divides 47820 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1993, 3986, 5979, 7972, 11958, 15944, 23916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47820 and 47832. The biggest common factor number is the GCF number.
So the greatest common factor 47820 and 47832 is 12.

Also check out the Least Common Multiple of 47820 and 47832