What is the Greatest Common Factor of 47154 and 47168?

Greatest common factor (GCF) of 47154 and 47168 is 2.

GCF(47154,47168) = 2

We will now calculate the prime factors of 47154 and 47168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47154 and 47168.

How to find the GCF of 47154 and 47168?

We will first find the prime factorization of 47154 and 47168. After we will calculate the factors of 47154 and 47168 and find the biggest common factor number .

Step-1: Prime Factorization of 47154

Prime factors of 47154 are 2, 3, 29, 271. Prime factorization of 47154 in exponential form is:

47154 = 2¹ × 3¹ × 29¹ × 271¹

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 47154

List of positive integer factors of 47154 that divides 47154 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 271, 542, 813, 1626, 7859, 15718, 23577

Step-4: Factors of 47168

List of positive integer factors of 47168 that divides 47154 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 47154 and 47168. The biggest common factor number is the GCF number.
So the greatest common factor 47154 and 47168 is 2.

Also check out the Least Common Multiple of 47154 and 47168