What is the Greatest Common Factor of 47161 and 47168?

Greatest common factor (GCF) of 47161 and 47168 is 1.

GCF(47161,47168) = 1

We will now calculate the prime factors of 47161 and 47168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47161 and 47168.

How to find the GCF of 47161 and 47168?

We will first find the prime factorization of 47161 and 47168. After we will calculate the factors of 47161 and 47168 and find the biggest common factor number .

Step-1: Prime Factorization of 47161

Prime factors of 47161 are 47161. Prime factorization of 47161 in exponential form is:

47161 = 47161¹

Step-2: 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-3: Factors of 47161

List of positive integer factors of 47161 that divides 47161 without a remainder.

Step-4: Factors of 47168

List of positive integer factors of 47168 that divides 47161 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47161 and 47168. The biggest common factor number is the GCF number.
So the greatest common factor 47161 and 47168 is 1.

Also check out the Least Common Multiple of 47161 and 47168