What is the Greatest Common Factor of 47894 and 47901?

Greatest common factor (GCF) of 47894 and 47901 is 7.

GCF(47894,47901) = 7

We will now calculate the prime factors of 47894 and 47901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47894 and 47901.

How to find the GCF of 47894 and 47901?

We will first find the prime factorization of 47894 and 47901. After we will calculate the factors of 47894 and 47901 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47901

Prime factors of 47901 are 3, 7, 2281. Prime factorization of 47901 in exponential form is:

47901 = 3¹ × 7¹ × 2281¹

Step-3: Factors of 47894

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

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

Step-4: Factors of 47901

List of positive integer factors of 47901 that divides 47894 without a remainder.

1, 3, 7, 21, 2281, 6843, 15967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47894 and 47901. The biggest common factor number is the GCF number.
So the greatest common factor 47894 and 47901 is 7.

Also check out the Least Common Multiple of 47894 and 47901