What is the Greatest Common Factor of 47918 and 47931?

Greatest common factor (GCF) of 47918 and 47931 is 13.

GCF(47918,47931) = 13

We will now calculate the prime factors of 47918 and 47931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47918 and 47931.

How to find the GCF of 47918 and 47931?

We will first find the prime factorization of 47918 and 47931. After we will calculate the factors of 47918 and 47931 and find the biggest common factor number .

Step-1: Prime Factorization of 47918

Prime factors of 47918 are 2, 13, 19, 97. Prime factorization of 47918 in exponential form is:

47918 = 2¹ × 13¹ × 19¹ × 97¹

Step-2: 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-3: Factors of 47918

List of positive integer factors of 47918 that divides 47918 without a remainder.

1, 2, 13, 19, 26, 38, 97, 194, 247, 494, 1261, 1843, 2522, 3686, 23959

Step-4: Factors of 47931

List of positive integer factors of 47931 that divides 47918 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47918 and 47931. The biggest common factor number is the GCF number.
So the greatest common factor 47918 and 47931 is 13.

Also check out the Least Common Multiple of 47918 and 47931