What is the Greatest Common Factor of 47934 and 47949?

Greatest common factor (GCF) of 47934 and 47949 is 3.

GCF(47934,47949) = 3

We will now calculate the prime factors of 47934 and 47949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47934 and 47949.

How to find the GCF of 47934 and 47949?

We will first find the prime factorization of 47934 and 47949. After we will calculate the factors of 47934 and 47949 and find the biggest common factor number .

Step-1: Prime Factorization of 47934

Prime factors of 47934 are 2, 3, 2663. Prime factorization of 47934 in exponential form is:

47934 = 2¹ × 3² × 2663¹

Step-2: Prime Factorization of 47949

Prime factors of 47949 are 3, 11, 1453. Prime factorization of 47949 in exponential form is:

47949 = 3¹ × 11¹ × 1453¹

Step-3: Factors of 47934

List of positive integer factors of 47934 that divides 47934 without a remainder.

1, 2, 3, 6, 9, 18, 2663, 5326, 7989, 15978, 23967

Step-4: Factors of 47949

List of positive integer factors of 47949 that divides 47934 without a remainder.

1, 3, 11, 33, 1453, 4359, 15983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47934 and 47949. The biggest common factor number is the GCF number.
So the greatest common factor 47934 and 47949 is 3.

Also check out the Least Common Multiple of 47934 and 47949