What is the Greatest Common Factor of 47868 and 47883?

Greatest common factor (GCF) of 47868 and 47883 is 3.

GCF(47868,47883) = 3

We will now calculate the prime factors of 47868 and 47883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47868 and 47883.

How to find the GCF of 47868 and 47883?

We will first find the prime factorization of 47868 and 47883. After we will calculate the factors of 47868 and 47883 and find the biggest common factor number .

Step-1: Prime Factorization of 47868

Prime factors of 47868 are 2, 3, 3989. Prime factorization of 47868 in exponential form is:

47868 = 2² × 3¹ × 3989¹

Step-2: Prime Factorization of 47883

Prime factors of 47883 are 3, 11, 1451. Prime factorization of 47883 in exponential form is:

47883 = 3¹ × 11¹ × 1451¹

Step-3: Factors of 47868

List of positive integer factors of 47868 that divides 47868 without a remainder.

1, 2, 3, 4, 6, 12, 3989, 7978, 11967, 15956, 23934

Step-4: Factors of 47883

List of positive integer factors of 47883 that divides 47868 without a remainder.

1, 3, 11, 33, 1451, 4353, 15961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47868 and 47883. The biggest common factor number is the GCF number.
So the greatest common factor 47868 and 47883 is 3.

Also check out the Least Common Multiple of 47868 and 47883