What is the Greatest Common Factor of 54012 and 54030?

Greatest common factor (GCF) of 54012 and 54030 is 6.

GCF(54012,54030) = 6

We will now calculate the prime factors of 54012 and 54030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54012 and 54030.

How to find the GCF of 54012 and 54030?

We will first find the prime factorization of 54012 and 54030. After we will calculate the factors of 54012 and 54030 and find the biggest common factor number .

Step-1: Prime Factorization of 54012

Prime factors of 54012 are 2, 3, 7, 643. Prime factorization of 54012 in exponential form is:

54012 = 2² × 3¹ × 7¹ × 643¹

Step-2: Prime Factorization of 54030

Prime factors of 54030 are 2, 3, 5, 1801. Prime factorization of 54030 in exponential form is:

54030 = 2¹ × 3¹ × 5¹ × 1801¹

Step-3: Factors of 54012

List of positive integer factors of 54012 that divides 54012 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 643, 1286, 1929, 2572, 3858, 4501, 7716, 9002, 13503, 18004, 27006

Step-4: Factors of 54030

List of positive integer factors of 54030 that divides 54012 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1801, 3602, 5403, 9005, 10806, 18010, 27015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54012 and 54030. The biggest common factor number is the GCF number.
So the greatest common factor 54012 and 54030 is 6.

Also check out the Least Common Multiple of 54012 and 54030