What is the Greatest Common Factor of 53136 and 53154?

Greatest common factor (GCF) of 53136 and 53154 is 18.

GCF(53136,53154) = 18

We will now calculate the prime factors of 53136 and 53154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53136 and 53154.

How to find the GCF of 53136 and 53154?

We will first find the prime factorization of 53136 and 53154. After we will calculate the factors of 53136 and 53154 and find the biggest common factor number .

Step-1: Prime Factorization of 53136

Prime factors of 53136 are 2, 3, 41. Prime factorization of 53136 in exponential form is:

53136 = 2⁴ × 3⁴ × 41¹

Step-2: Prime Factorization of 53154

Prime factors of 53154 are 2, 3, 2953. Prime factorization of 53154 in exponential form is:

53154 = 2¹ × 3² × 2953¹

Step-3: Factors of 53136

List of positive integer factors of 53136 that divides 53136 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 41, 48, 54, 72, 81, 82, 108, 123, 144, 162, 164, 216, 246, 324, 328, 369, 432, 492, 648, 656, 738, 984, 1107, 1296, 1476, 1968, 2214, 2952, 3321, 4428, 5904, 6642, 8856, 13284, 17712, 26568

Step-4: Factors of 53154

List of positive integer factors of 53154 that divides 53136 without a remainder.

1, 2, 3, 6, 9, 18, 2953, 5906, 8859, 17718, 26577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53136 and 53154. The biggest common factor number is the GCF number.
So the greatest common factor 53136 and 53154 is 18.

Also check out the Least Common Multiple of 53136 and 53154