What is the Greatest Common Factor of 54102 and 54108?

Greatest common factor (GCF) of 54102 and 54108 is 6.

GCF(54102,54108) = 6

We will now calculate the prime factors of 54102 and 54108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54102 and 54108.

How to find the GCF of 54102 and 54108?

We will first find the prime factorization of 54102 and 54108. After we will calculate the factors of 54102 and 54108 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54108

Prime factors of 54108 are 2, 3, 167. Prime factorization of 54108 in exponential form is:

54108 = 2² × 3⁴ × 167¹

Step-3: Factors of 54102

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

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

Step-4: Factors of 54108

List of positive integer factors of 54108 that divides 54102 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 167, 324, 334, 501, 668, 1002, 1503, 2004, 3006, 4509, 6012, 9018, 13527, 18036, 27054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54102 and 54108. The biggest common factor number is the GCF number.
So the greatest common factor 54102 and 54108 is 6.

Also check out the Least Common Multiple of 54102 and 54108