What is the Greatest Common Factor of 47934 and 47944?

Greatest common factor (GCF) of 47934 and 47944 is 2.

GCF(47934,47944) = 2

We will now calculate the prime factors of 47934 and 47944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47934 and 47944.

How to find the GCF of 47934 and 47944?

We will first find the prime factorization of 47934 and 47944. After we will calculate the factors of 47934 and 47944 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 47944

Prime factors of 47944 are 2, 13, 461. Prime factorization of 47944 in exponential form is:

47944 = 2³ × 13¹ × 461¹

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 47944

List of positive integer factors of 47944 that divides 47934 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 461, 922, 1844, 3688, 5993, 11986, 23972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47934 and 47944. The biggest common factor number is the GCF number.
So the greatest common factor 47934 and 47944 is 2.

Also check out the Least Common Multiple of 47934 and 47944