What is the Greatest Common Factor of 54084 and 54102?

Greatest common factor (GCF) of 54084 and 54102 is 6.

GCF(54084,54102) = 6

We will now calculate the prime factors of 54084 and 54102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54084 and 54102.

How to find the GCF of 54084 and 54102?

We will first find the prime factorization of 54084 and 54102. After we will calculate the factors of 54084 and 54102 and find the biggest common factor number .

Step-1: Prime Factorization of 54084

Prime factors of 54084 are 2, 3, 4507. Prime factorization of 54084 in exponential form is:

54084 = 2² × 3¹ × 4507¹

Step-2: Prime Factorization of 54102

Prime factors of 54102 are 2, 3, 71, 127. Prime factorization of 54102 in exponential form is:

54102 = 2¹ × 3¹ × 71¹ × 127¹

Step-3: Factors of 54084

List of positive integer factors of 54084 that divides 54084 without a remainder.

1, 2, 3, 4, 6, 12, 4507, 9014, 13521, 18028, 27042

Step-4: Factors of 54102

List of positive integer factors of 54102 that divides 54084 without a remainder.

1, 2, 3, 6, 71, 127, 142, 213, 254, 381, 426, 762, 9017, 18034, 27051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54084 and 54102. The biggest common factor number is the GCF number.
So the greatest common factor 54084 and 54102 is 6.

Also check out the Least Common Multiple of 54084 and 54102