What is the Greatest Common Factor of 47853 and 47866?

Greatest common factor (GCF) of 47853 and 47866 is 13.

GCF(47853,47866) = 13

We will now calculate the prime factors of 47853 and 47866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47853 and 47866.

How to find the GCF of 47853 and 47866?

We will first find the prime factorization of 47853 and 47866. After we will calculate the factors of 47853 and 47866 and find the biggest common factor number .

Step-1: Prime Factorization of 47853

Prime factors of 47853 are 3, 13, 409. Prime factorization of 47853 in exponential form is:

47853 = 3² × 13¹ × 409¹

Step-2: Prime Factorization of 47866

Prime factors of 47866 are 2, 7, 13, 263. Prime factorization of 47866 in exponential form is:

47866 = 2¹ × 7¹ × 13¹ × 263¹

Step-3: Factors of 47853

List of positive integer factors of 47853 that divides 47853 without a remainder.

1, 3, 9, 13, 39, 117, 409, 1227, 3681, 5317, 15951

Step-4: Factors of 47866

List of positive integer factors of 47866 that divides 47853 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 263, 526, 1841, 3419, 3682, 6838, 23933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47853 and 47866. The biggest common factor number is the GCF number.
So the greatest common factor 47853 and 47866 is 13.

Also check out the Least Common Multiple of 47853 and 47866