What is the Greatest Common Factor of 47931 and 47944?

Greatest common factor (GCF) of 47931 and 47944 is 13.

GCF(47931,47944) = 13

We will now calculate the prime factors of 47931 and 47944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47931 and 47944.

How to find the GCF of 47931 and 47944?

We will first find the prime factorization of 47931 and 47944. After we will calculate the factors of 47931 and 47944 and find the biggest common factor number .

Step-1: Prime Factorization of 47931

Prime factors of 47931 are 3, 13, 1229. Prime factorization of 47931 in exponential form is:

47931 = 3¹ × 13¹ × 1229¹

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 47931

List of positive integer factors of 47931 that divides 47931 without a remainder.

1, 3, 13, 39, 1229, 3687, 15977

Step-4: Factors of 47944

List of positive integer factors of 47944 that divides 47931 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 47931 and 47944. The biggest common factor number is the GCF number.
So the greatest common factor 47931 and 47944 is 13.

Also check out the Least Common Multiple of 47931 and 47944