What is the Greatest Common Factor of 47866 and 47879?

Greatest common factor (GCF) of 47866 and 47879 is 13.

GCF(47866,47879) = 13

We will now calculate the prime factors of 47866 and 47879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47866 and 47879.

How to find the GCF of 47866 and 47879?

We will first find the prime factorization of 47866 and 47879. After we will calculate the factors of 47866 and 47879 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47879

Prime factors of 47879 are 13, 29, 127. Prime factorization of 47879 in exponential form is:

47879 = 13¹ × 29¹ × 127¹

Step-3: Factors of 47866

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

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

Step-4: Factors of 47879

List of positive integer factors of 47879 that divides 47866 without a remainder.

1, 13, 29, 127, 377, 1651, 3683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47866 and 47879. The biggest common factor number is the GCF number.
So the greatest common factor 47866 and 47879 is 13.

Also check out the Least Common Multiple of 47866 and 47879