What is the Greatest Common Factor of 47894 and 47908?

Greatest common factor (GCF) of 47894 and 47908 is 14.

GCF(47894,47908) = 14

We will now calculate the prime factors of 47894 and 47908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47894 and 47908.

How to find the GCF of 47894 and 47908?

We will first find the prime factorization of 47894 and 47908. After we will calculate the factors of 47894 and 47908 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 47908

Prime factors of 47908 are 2, 7, 29, 59. Prime factorization of 47908 in exponential form is:

47908 = 2² × 7¹ × 29¹ × 59¹

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 47908

List of positive integer factors of 47908 that divides 47894 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 59, 116, 118, 203, 236, 406, 413, 812, 826, 1652, 1711, 3422, 6844, 11977, 23954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47894 and 47908. The biggest common factor number is the GCF number.
So the greatest common factor 47894 and 47908 is 14.

Also check out the Least Common Multiple of 47894 and 47908