What is the Greatest Common Factor of 54162 and 54177?

Greatest common factor (GCF) of 54162 and 54177 is 3.

GCF(54162,54177) = 3

We will now calculate the prime factors of 54162 and 54177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54162 and 54177.

How to find the GCF of 54162 and 54177?

We will first find the prime factorization of 54162 and 54177. After we will calculate the factors of 54162 and 54177 and find the biggest common factor number .

Step-1: Prime Factorization of 54162

Prime factors of 54162 are 2, 3, 17, 59. Prime factorization of 54162 in exponential form is:

54162 = 2¹ × 3³ × 17¹ × 59¹

Step-2: Prime Factorization of 54177

Prime factors of 54177 are 3, 18059. Prime factorization of 54177 in exponential form is:

54177 = 3¹ × 18059¹

Step-3: Factors of 54162

List of positive integer factors of 54162 that divides 54162 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 59, 102, 118, 153, 177, 306, 354, 459, 531, 918, 1003, 1062, 1593, 2006, 3009, 3186, 6018, 9027, 18054, 27081

Step-4: Factors of 54177

List of positive integer factors of 54177 that divides 54162 without a remainder.

1, 3, 18059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54162 and 54177. The biggest common factor number is the GCF number.
So the greatest common factor 54162 and 54177 is 3.

Also check out the Least Common Multiple of 54162 and 54177