What is the Greatest Common Factor of 47168 and 47172?

Greatest common factor (GCF) of 47168 and 47172 is 4.

GCF(47168,47172) = 4

We will now calculate the prime factors of 47168 and 47172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47168 and 47172.

How to find the GCF of 47168 and 47172?

We will first find the prime factorization of 47168 and 47172. After we will calculate the factors of 47168 and 47172 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 47172

Prime factors of 47172 are 2, 3, 3931. Prime factorization of 47172 in exponential form is:

47172 = 2² × 3¹ × 3931¹

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 47172

List of positive integer factors of 47172 that divides 47168 without a remainder.

1, 2, 3, 4, 6, 12, 3931, 7862, 11793, 15724, 23586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47168 and 47172. The biggest common factor number is the GCF number.
So the greatest common factor 47168 and 47172 is 4.

Also check out the Least Common Multiple of 47168 and 47172