What is the Greatest Common Factor of 47866 and 47873?

Greatest common factor (GCF) of 47866 and 47873 is 7.

GCF(47866,47873) = 7

We will now calculate the prime factors of 47866 and 47873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47866 and 47873.

How to find the GCF of 47866 and 47873?

We will first find the prime factorization of 47866 and 47873. After we will calculate the factors of 47866 and 47873 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 47873

Prime factors of 47873 are 7, 977. Prime factorization of 47873 in exponential form is:

47873 = 7² × 977¹

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 47873

List of positive integer factors of 47873 that divides 47866 without a remainder.

1, 7, 49, 977, 6839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47866 and 47873. The biggest common factor number is the GCF number.
So the greatest common factor 47866 and 47873 is 7.

Also check out the Least Common Multiple of 47866 and 47873