What is the Greatest Common Factor of 47875 and 47894?

Greatest common factor (GCF) of 47875 and 47894 is 1.

GCF(47875,47894) = 1

We will now calculate the prime factors of 47875 and 47894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47875 and 47894.

How to find the GCF of 47875 and 47894?

We will first find the prime factorization of 47875 and 47894. After we will calculate the factors of 47875 and 47894 and find the biggest common factor number .

Step-1: Prime Factorization of 47875

Prime factors of 47875 are 5, 383. Prime factorization of 47875 in exponential form is:

47875 = 5³ × 383¹

Step-2: Prime Factorization of 47894

Prime factors of 47894 are 2, 7, 11, 311. Prime factorization of 47894 in exponential form is:

47894 = 2¹ × 7¹ × 11¹ × 311¹

Step-3: Factors of 47875

List of positive integer factors of 47875 that divides 47875 without a remainder.

1, 5, 25, 125, 383, 1915, 9575

Step-4: Factors of 47894

List of positive integer factors of 47894 that divides 47875 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 311, 622, 2177, 3421, 4354, 6842, 23947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47875 and 47894. The biggest common factor number is the GCF number.
So the greatest common factor 47875 and 47894 is 1.

Also check out the Least Common Multiple of 47875 and 47894