What is the Greatest Common Factor of 47168 and 47174?

Greatest common factor (GCF) of 47168 and 47174 is 2.

GCF(47168,47174) = 2

We will now calculate the prime factors of 47168 and 47174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47168 and 47174.

How to find the GCF of 47168 and 47174?

We will first find the prime factorization of 47168 and 47174. After we will calculate the factors of 47168 and 47174 and find the biggest common factor number .

Step-1: Prime Factorization of 47168

Prime factors of 47168 are 2, 11, 67. Prime factorization of 47168 in exponential form is:

47168 = 2⁶ × 11¹ × 67¹

Step-2: Prime Factorization of 47174

Prime factors of 47174 are 2, 103, 229. Prime factorization of 47174 in exponential form is:

47174 = 2¹ × 103¹ × 229¹

Step-3: Factors of 47168

List of positive integer factors of 47168 that divides 47168 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 67, 88, 134, 176, 268, 352, 536, 704, 737, 1072, 1474, 2144, 2948, 4288, 5896, 11792, 23584

Step-4: Factors of 47174

List of positive integer factors of 47174 that divides 47168 without a remainder.

1, 2, 103, 206, 229, 458, 23587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47168 and 47174. The biggest common factor number is the GCF number.
So the greatest common factor 47168 and 47174 is 2.

Also check out the Least Common Multiple of 47168 and 47174