What is the Greatest Common Factor of 54162 and 54179?

Greatest common factor (GCF) of 54162 and 54179 is 17.

GCF(54162,54179) = 17

We will now calculate the prime factors of 54162 and 54179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54162 and 54179.

How to find the GCF of 54162 and 54179?

We will first find the prime factorization of 54162 and 54179. After we will calculate the factors of 54162 and 54179 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 54179

Prime factors of 54179 are 17, 3187. Prime factorization of 54179 in exponential form is:

54179 = 17¹ × 3187¹

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 54179

List of positive integer factors of 54179 that divides 54162 without a remainder.

1, 17, 3187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54162 and 54179. The biggest common factor number is the GCF number.
So the greatest common factor 54162 and 54179 is 17.

Also check out the Least Common Multiple of 54162 and 54179